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79680978 = 23213437919
BaseRepresentation
bin1001011111111…
…01010111010010
312112221012202100
410233331113102
5130344242403
611523501230
71655164026
oct457752722
9175835670
1079680978
1140a83553
1222827816
131367b110
14a822386
156ede2a3
hex4bfd5d2

79680978 has 48 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 23944032.

The previous prime is 79680977. The next prime is 79681001. The reversal of 79680978 is 87908697.

It is not an unprimeable number, because it can be changed into a prime (79680973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6103 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 279680978 is an apocalyptic number.

79680978 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 79680978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

79680978 is an abundant number, since it is smaller than the sum of its proper divisors (110589102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79680978 is a wasteful number, since it uses less digits than its factorization.

79680978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 79680978 is about 8926.4202231354. The cubic root of 79680978 is about 430.3134149160.

The spelling of 79680978 in words is "seventy-nine million, six hundred eighty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 7919 10062 15838 23757 47514 71271 102947 142542 205894 308841 340517 617682 681034 926523 1021551 1853046 2043102 3064653 4426721 6129306 8853442 13280163 26560326 39840489 79680978