766080645120 has 1296 divisors, whose sum is σ = 3286541086920. Its totient is φ = 164523147264.

The previous prime is 766080645119. The next prime is 766080645133. The reversal of 766080645120 is 21546080667.

766080645120 is a `hidden beast` number, since 76 + 6 + 0 + 8 + 0 + 64 + 512 + 0 = 666.

766080645120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 107 ways as a sum of consecutive naturals, for example, 1305077467 + ... + 1305078053.

Almost surely, 2^766080645120 is an apocalyptic number.

766080645120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766080645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643270543460).

766080645120 is an abundant number, since it is smaller than the sum of its proper divisors (2520460441800).

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

766080645120 is a wasteful number, since it uses less digits than its factorization.

766080645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 766080645120 in words is "seven hundred sixty-six billion, eighty million, six hundred forty-five thousand, one hundred twenty".