766973092900 has 81 divisors (see below), whose sum is σ = 1936213982577. Its totient is φ = 262941184800.

The previous prime is 766973092861. The next prime is 766973092909. The reversal of 766973092900 is 9290379667.

The square root of 766973092900 is 875770.

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

It can be written as a sum of positive squares in only one way, i.e., 276110313444 + 490862779456 = 525462^2 + 700616^2 .

It is not an unprimeable number, because it can be changed into a prime (766973092909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61297645 + ... + 61310155.

Almost surely, 2^766973092900 is an apocalyptic number.

766973092900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

766973092900 is the 875770-th square number.

It is an amenable number.

766973092900 is an abundant number, since it is smaller than the sum of its proper divisors (1169240889677).

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

766973092900 is an equidigital number, since it uses as much as digits as its factorization.

766973092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25050 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 58.

The spelling of 766973092900 in words is "seven hundred sixty-six billion, nine hundred seventy-three million, ninety-two thousand, nine hundred".