76331150032900 has 243 divisors, whose sum is σ = 203387475928959. Its totient is φ = 24789501515520.

The previous prime is 76331150032889. The next prime is 76331150032931. The reversal of 76331150032900 is 923005113367.

The square root of 76331150032900 is 8736770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7613283971524 + 68717866061376 = 2759218^2 + 8289624^2 .

It is a super-3 number, since 3×76331150032900³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11619900816 + ... + 11619907384.

Almost surely, 2^{76331150032900} is an apocalyptic number.

76331150032900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76331150032900 is the 8736770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76331150032900

76331150032900 is an abundant number, since it is smaller than the sum of its proper divisors (127056325896059).

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

76331150032900 is an equidigital number, since it uses as much as digits as its factorization.

76331150032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 76331150032900 in words is "seventy-six trillion, three hundred thirty-one billion, one hundred fifty million, thirty-two thousand, nine hundred".