79121280 has 288 divisors, whose sum is σ = 303839640. Its totient is φ = 17461248.

The previous prime is 79121227. The next prime is 79121297. The reversal of 79121280 is 8212197.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2728306 + ... + 2728334.

Almost surely, 2^79121280 is an apocalyptic number.

79121280 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 79121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151919820).

79121280 is an abundant number, since it is smaller than the sum of its proper divisors (224718360).

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

79121280 is a wasteful number, since it uses less digits than its factorization.

79121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 79121280 is about 8895.0143338839. The cubic root of 79121280 is about 429.3035055942.

Multiplying 79121280 by its sum of digits (30), we get a square (2373638400 = 48720²).

79121280 divided by its sum of digits (30) gives a square (2637376 = 1624²).

It can be divided in two parts, 79121 and 280, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 79121280 in words is "seventy-nine million, one hundred twenty-one thousand, two hundred eighty".