76016800 has 36 divisors (see below), whose sum is σ = 185577966. Its totient is φ = 30406400.

The previous prime is 76016783. The next prime is 76016807. The reversal of 76016800 is 861067.

It can be written as a sum of positive squares in 3 ways, for example, as 56972304 + 19044496 = 7548^2 + 4364^2 .

It is not an unprimeable number, because it can be changed into a prime (76016807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46711 + ... + 48310.

Almost surely, 2^76016800 is an apocalyptic number.

It is an amenable number.

76016800 is an abundant number, since it is smaller than the sum of its proper divisors (109561166).

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

76016800 is a wasteful number, since it uses less digits than its factorization.

76016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95041 (or 95028 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 76016800 is about 8718.7613799209. The cubic root of 76016800 is about 423.6135674577.

Adding to 76016800 its reverse (861067), we get a palindrome (76877867).

The spelling of 76016800 in words is "seventy-six million, sixteen thousand, eight hundred".