76998800 has 30 divisors (see below), whose sum is σ = 184990578. Its totient is φ = 30799360.

The previous prime is 76998793. The next prime is 76998809. The reversal of 76998800 is 889967.

It can be written as a sum of positive squares in 3 ways, for example, as 19784704 + 57214096 = 4448^2 + 7564^2 .

It is not an unprimeable number, because it can be changed into a prime (76998809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95849 + ... + 96648.

Almost surely, 2^76998800 is an apocalyptic number.

It is an amenable number.

76998800 is an abundant number, since it is smaller than the sum of its proper divisors (107991778).

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

76998800 is a wasteful number, since it uses less digits than its factorization.

76998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192515 (or 192504 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 76998800 is about 8774.8960107798. The cubic root of 76998800 is about 425.4298764632.

The spelling of 76998800 in words is "seventy-six million, nine hundred ninety-eight thousand, eight hundred".