76331700 has 144 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 19146240.

The previous prime is 76331681. The next prime is 76331729. The reversal of 76331700 is 713367.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 45069 + ... + 46731.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^76331700 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 76331700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

76331700 is an abundant number, since it is smaller than the sum of its proper divisors (183651660).

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

76331700 is a wasteful number, since it uses less digits than its factorization.

76331700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 76331700 is about 8736.8014742238. The cubic root of 76331700 is about 424.1977020936.

It can be divided in two parts, 76 and 331700, that added together give a 4-th power (331776 = 24⁴).

The spelling of 76331700 in words is "seventy-six million, three hundred thirty-one thousand, seven hundred".