76775370376320 has 2304 divisors, whose sum is σ = 348688520893440. Its totient is φ = 15682686566400.

The previous prime is 76775370376301. The next prime is 76775370376337. The reversal of 76775370376320 is 2367307357767.

76775370376320 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 537 + 0 + 3 + 76 + 3 + 20 = 666.

76775370376320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×76775370376320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44559122979 + ... + 44559124701.

It is an arithmetic number, because the mean of its divisors is an integer number (151340503860).

Almost surely, 2^{76775370376320} is an apocalyptic number.

76775370376320 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 76775370376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174344260446720).

76775370376320 is an abundant number, since it is smaller than the sum of its proper divisors (271913150517120).

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

76775370376320 is a wasteful number, since it uses less digits than its factorization.

76775370376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 163364040, while the sum is 63.

The spelling of 76775370376320 in words is "seventy-six trillion, seven hundred seventy-five billion, three hundred seventy million, three hundred seventy-six thousand, three hundred twenty".