79582848 has 128 divisors (see below), whose sum is σ = 228251520. Its totient is φ = 24477696.

The previous prime is 79582823. The next prime is 79582879. The reversal of 79582848 is 84828597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×79582848² = 12666859391582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 79582848.

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, 476461 + ... + 476627.

It is an arithmetic number, because the mean of its divisors is an integer number (1783215).

Almost surely, 2^79582848 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 79582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114125760).

79582848 is an abundant number, since it is smaller than the sum of its proper divisors (148668672).

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

79582848 is a wasteful number, since it uses less digits than its factorization.

79582848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 79582848 is about 8920.9219254514. The cubic root of 79582848 is about 430.1366935166.

The spelling of 79582848 in words is "seventy-nine million, five hundred eighty-two thousand, eight hundred forty-eight".