766120120335360 has 1320 divisors, whose sum is σ = 3207648209595984. Its totient is φ = 174340696965120.

The previous prime is 766120120335337. The next prime is 766120120335389. The reversal of 766120120335360 is 63533021021667.

It is a happy number.

766120120335360 is a `hidden beast` number, since 7 + 6 + 61 + 2 + 0 + 1 + 20 + 33 + 536 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 4612847520 + ... + 4613013600.

Almost surely, 2^{766120120335360} is an apocalyptic number.

766120120335360 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 766120120335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603824104797992).

766120120335360 is an abundant number, since it is smaller than the sum of its proper divisors (2441528089260624).

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

766120120335360 is a wasteful number, since it uses less digits than its factorization.

766120120335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166359 (or 166325 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 766120120335360 in words is "seven hundred sixty-six trillion, one hundred twenty billion, one hundred twenty million, three hundred thirty-five thousand, three hundred sixty".