79154880 has 112 divisors (see below), whose sum is σ = 287243520. Its totient is φ = 18091008.

The previous prime is 79154869. The next prime is 79154899. The reversal of 79154880 is 8845197.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 831 + ... + 12609.

Almost surely, 2^79154880 is an apocalyptic number.

79154880 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 79154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

79154880 is an abundant number, since it is smaller than the sum of its proper divisors (208088640).

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

79154880 is a wasteful number, since it uses less digits than its factorization.

79154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 79154880 is about 8896.9028318848. The cubic root of 79154880 is about 429.3642669823.

The spelling of 79154880 in words is "seventy-nine million, one hundred fifty-four thousand, eight hundred eighty".