79356778824960 has 4608 divisors, whose sum is σ = 375808204800000. Its totient is φ = 15400224423936.

The previous prime is 79356778824959. The next prime is 79356778824991. The reversal of 79356778824960 is 6942887765397.

It is a happy number.

79356778824960 is a `hidden beast` number, since 7 + 9 + 3 + 56 + 7 + 78 + 8 + 2 + 496 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79356778824960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 398777782941 + ... + 398777783139.

It is an arithmetic number, because the mean of its divisors is an integer number (81555600000).

Almost surely, 2^{79356778824960} is an apocalyptic number.

79356778824960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79356778824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187904102400000).

79356778824960 is an abundant number, since it is smaller than the sum of its proper divisors (296451425975040).

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

79356778824960 is a wasteful number, since it uses less digits than its factorization.

79356778824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 79356778824960 in words is "seventy-nine trillion, three hundred fifty-six billion, seven hundred seventy-eight million, eight hundred twenty-four thousand, nine hundred sixty".