79984000 has 64 divisors (see below), whose sum is σ = 198900000. Its totient is φ = 31987200.

The previous prime is 79983971. The next prime is 79984013. The reversal of 79984000 is 48997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13501 + ... + 18499.

Almost surely, 2^79984000 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 79984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99450000).

79984000 is an abundant number, since it is smaller than the sum of its proper divisors (118916000).

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

79984000 is an equidigital number, since it uses as much as digits as its factorization.

79984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 79984000 is about 8943.3774380823. The cubic root of 79984000 is about 430.8582102952.

The spelling of 79984000 in words is "seventy-nine million, nine hundred eighty-four thousand".