768176820 has 72 divisors (see below), whose sum is σ = 2386991880. Its totient is φ = 199848960.

The previous prime is 768176819. The next prime is 768176837. The reversal of 768176820 is 28671867.

It can be written as a sum of positive squares in 4 ways, for example, as 45319824 + 722856996 = 6732^2 + 26886^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44665 + ... + 59424.

It is an arithmetic number, because the mean of its divisors is an integer number (33152665).

Almost surely, 2^768176820 is an apocalyptic number.

It is an amenable number.

768176820 is an abundant number, since it is smaller than the sum of its proper divisors (1618815060).

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

768176820 is a wasteful number, since it uses less digits than its factorization.

768176820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104145 (or 104140 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 768176820 is about 27716.0029585797. The cubic root of 768176820 is about 915.8416693345.

The spelling of 768176820 in words is "seven hundred sixty-eight million, one hundred seventy-six thousand, eight hundred twenty".