79251120 has 120 divisors (see below), whose sum is σ = 286658736. Its totient is φ = 19505664.

The previous prime is 79251103. The next prime is 79251157. The reversal of 79251120 is 2115297.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×79251120³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5127 + ... + 13593.

Almost surely, 2^79251120 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 79251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143329368).

79251120 is an abundant number, since it is smaller than the sum of its proper divisors (207407616).

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

79251120 is a wasteful number, since it uses less digits than its factorization.

79251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 79251120 is about 8902.3098126273. The cubic root of 79251120 is about 429.5382098536.

It can be divided in two parts, 7925 and 1120, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 79251120 in words is "seventy-nine million, two hundred fifty-one thousand, one hundred twenty".