79488000 has 352 divisors, whose sum is σ = 306558720. Its totient is φ = 20275200.

The previous prime is 79487981. The next prime is 79488029. The reversal of 79488000 is 88497.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3455989 + ... + 3456011.

Almost surely, 2^79488000 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 79488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

79488000 is an abundant number, since it is smaller than the sum of its proper divisors (227070720).

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

79488000 is a wasteful number, since it uses less digits than its factorization.

79488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 79488000 is about 8915.6042980832. The cubic root of 79488000 is about 429.9657445219.

The spelling of 79488000 in words is "seventy-nine million, four hundred eighty-eight thousand".