79758120 has 256 divisors, whose sum is σ = 279417600. Its totient is φ = 18063360.

The previous prime is 79758113. The next prime is 79758131. The reversal of 79758120 is 2185797.

It is a super-2 number, since 2×79758120² = 12722715411868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1854819 + ... + 1854861.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^79758120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79758120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

79758120 is an abundant number, since it is smaller than the sum of its proper divisors (199659480).

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

79758120 is a wasteful number, since it uses less digits than its factorization.

79758120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 79758120 is about 8930.7401708929. The cubic root of 79758120 is about 430.4522373868.

The spelling of 79758120 in words is "seventy-nine million, seven hundred fifty-eight thousand, one hundred twenty".