79274880 has 96 divisors (see below), whose sum is σ = 273765960. Its totient is φ = 21138432.

The previous prime is 79274879. The next prime is 79274891. The reversal of 79274880 is 8847297.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122 + ... + 12641.

Almost surely, 2^79274880 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 79274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136882980).

79274880 is an abundant number, since it is smaller than the sum of its proper divisors (194491080).

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

79274880 is a wasteful number, since it uses less digits than its factorization.

79274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 79274880 is about 8903.6441977429. The cubic root of 79274880 is about 429.5811316786.

The spelling of 79274880 in words is "seventy-nine million, two hundred seventy-four thousand, eight hundred eighty".