79005360 has 320 divisors, whose sum is σ = 303980544. Its totient is φ = 16588800.

The previous prime is 79005347. The next prime is 79005371. The reversal of 79005360 is 6350097.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926940 + ... + 1926980.

Almost surely, 2^79005360 is an apocalyptic number.

79005360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

79005360 is an abundant number, since it is smaller than the sum of its proper divisors (224975184).

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

79005360 is a wasteful number, since it uses less digits than its factorization.

79005360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 79005360 is about 8888.4959357588. The cubic root of 79005360 is about 429.0937466624.

The spelling of 79005360 in words is "seventy-nine million, five thousand, three hundred sixty".