76731600 has 120 divisors (see below), whose sum is σ = 268188192. Its totient is φ = 18598400.

The previous prime is 76731569. The next prime is 76731607. The reversal of 76731600 is 613767.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76731607) 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 23 ways as a sum of consecutive naturals, for example, 10294 + ... + 16106.

Almost surely, 2^76731600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134094096).

76731600 is an abundant number, since it is smaller than the sum of its proper divisors (191456592).

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

76731600 is a wasteful number, since it uses less digits than its factorization.

76731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 76731600 is about 8759.6575275521. The cubic root of 76731600 is about 424.9371994865.

The spelling of 76731600 in words is "seventy-six million, seven hundred thirty-one thousand, six hundred".