77931646900 has 18 divisors (see below), whose sum is σ = 169111673990. Its totient is φ = 31172658720.

The previous prime is 77931646873. The next prime is 77931646967. The reversal of 77931646900 is 964613977.

It can be written as a sum of positive squares in 3 ways, for example, as 15549591204 + 62382055696 = 124698^2 + 249764^2 .

It is a super-2 number, since 2×77931646900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 389658135 + ... + 389658334.

Almost surely, 2^77931646900 is an apocalyptic number.

It is an amenable number.

77931646900 is an abundant number, since it is smaller than the sum of its proper divisors (91180027090).

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

77931646900 is a wasteful number, since it uses less digits than its factorization.

77931646900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779316483 (or 779316476 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 77931646900 in words is "seventy-seven billion, nine hundred thirty-one million, six hundred forty-six thousand, nine hundred".