79284960 has 96 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 21141504.

The previous prime is 79284943. The next prime is 79284973. The reversal of 79284960 is 6948297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×79284960² = 12572209764403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 13496.

It is an arithmetic number, because the mean of its divisors is an integer number (2890755).

Almost surely, 2^79284960 is an apocalyptic number.

It is an amenable number.

79284960 is an abundant number, since it is smaller than the sum of its proper divisors (198227520).

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

79284960 is a wasteful number, since it uses less digits than its factorization.

79284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18377 (or 18363 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 79284960 is about 8904.2102401055. The cubic root of 79284960 is about 429.5993383467.

The spelling of 79284960 in words is "seventy-nine million, two hundred eighty-four thousand, nine hundred sixty".