79780680 has 256 divisors, whose sum is σ = 310694400. Its totient is φ = 17832960.

The previous prime is 79780651. The next prime is 79780681. The reversal of 79780680 is 8608797.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79780681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461074 + ... + 461246.

It is an arithmetic number, because the mean of its divisors is an integer number (1213650).

Almost surely, 2^79780680 is an apocalyptic number.

79780680 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 79780680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

79780680 is an abundant number, since it is smaller than the sum of its proper divisors (230913720).

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

79780680 is a wasteful number, since it uses less digits than its factorization.

79780680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 79780680 is about 8932.0031347957. The cubic root of 79780680 is about 430.4928187805.

The spelling of 79780680 in words is "seventy-nine million, seven hundred eighty thousand, six hundred eighty".