79488864 has 240 divisors, whose sum is σ = 288576288. Its totient is φ = 20901888.

The previous prime is 79488859. The next prime is 79488869. The reversal of 79488864 is 46888497.

It is an interprime number because it is at equal distance from previous prime (79488859) and next prime (79488869).

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 79488864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79488869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235704 + ... + 236040.

Almost surely, 2^79488864 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 79488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288144).

79488864 is an abundant number, since it is smaller than the sum of its proper divisors (209087424).

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

79488864 is a wasteful number, since it uses less digits than its factorization.

79488864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 79488864 is about 8915.6527523227. The cubic root of 79488864 is about 429.9673023632.

The spelling of 79488864 in words is "seventy-nine million, four hundred eighty-eight thousand, eight hundred sixty-four".