79416960 has 256 divisors, whose sum is σ = 305510400. Its totient is φ = 17141760.

The previous prime is 79416929. The next prime is 79416977. The reversal of 79416960 is 6961497.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255205 + ... + 255515.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^79416960 is an apocalyptic number.

79416960 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 79416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

79416960 is an abundant number, since it is smaller than the sum of its proper divisors (226093440).

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

79416960 is a wasteful number, since it uses less digits than its factorization.

79416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 79416960 is about 8911.6193814592. The cubic root of 79416960 is about 429.8376167102.

The spelling of 79416960 in words is "seventy-nine million, four hundred sixteen thousand, nine hundred sixty".