79881984 has 288 divisors, whose sum is σ = 293027840. Its totient is φ = 20901888.

The previous prime is 79881973. The next prime is 79882051. The reversal of 79881984 is 48918897.

79881984 = 107³ + 108³ + ... + 145³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79881984² = 12762262735552512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 79881984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628929 + ... + 629055.

Almost surely, 2^79881984 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 79881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146513920).

79881984 is an abundant number, since it is smaller than the sum of its proper divisors (213145856).

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

79881984 is a wasteful number, since it uses less digits than its factorization.

79881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 79881984 is about 8937.6721801597. The cubic root of 79881984 is about 430.6749522614.

The spelling of 79881984 in words is "seventy-nine million, eight hundred eighty-one thousand, nine hundred eighty-four".