79739520 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 17104896.

The previous prime is 79739509. The next prime is 79739549. The reversal of 79739520 is 2593797.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228306 + ... + 228654.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^79739520 is an apocalyptic number.

79739520 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 79739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

79739520 is an abundant number, since it is smaller than the sum of its proper divisors (228708480).

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

79739520 is a wasteful number, since it uses less digits than its factorization.

79739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 79739520 is about 8929.6987631163. The cubic root of 79739520 is about 430.4187735669.

The spelling of 79739520 in words is "seventy-nine million, seven hundred thirty-nine thousand, five hundred twenty".