769672836100 has 243 divisors, whose sum is σ = 1979674146261. Its totient is φ = 258981912000.

The previous prime is 769672836043. The next prime is 769672836139. The reversal of 769672836100 is 1638276967.

It is a happy number.

The square root of 769672836100 is 877310.

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., 277082220996 + 492590615104 = 526386^2 + 701848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5097171025 + ... + 5097171175.

Almost surely, 2^769672836100 is an apocalyptic number.

769672836100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

769672836100 is the 877310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769672836100

769672836100 is an abundant number, since it is smaller than the sum of its proper divisors (1210001310161).

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

769672836100 is a wasteful number, since it uses less digits than its factorization.

769672836100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 769672836100 in words is "seven hundred sixty-nine billion, six hundred seventy-two million, eight hundred thirty-six thousand, one hundred".