84976800 has 72 divisors (see below), whose sum is σ = 276607296. Its totient is φ = 22659840.

The previous prime is 84976783. The next prime is 84976817. The reversal of 84976800 is 867948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84976783) and next prime (84976817).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15304 + ... + 20103.

It is an arithmetic number, because the mean of its divisors is an integer number (3841768).

Almost surely, 2^84976800 is an apocalyptic number.

84976800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84976800 is an abundant number, since it is smaller than the sum of its proper divisors (191630496).

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

84976800 is a wasteful number, since it uses less digits than its factorization.

84976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35430 (or 35417 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 84976800 is about 9218.2861747724. The cubic root of 84976800 is about 439.6429610470.

The spelling of 84976800 in words is "eighty-four million, nine hundred seventy-six thousand, eight hundred".