76766544960 has 896 divisors, whose sum is σ = 302814167040. Its totient is φ = 16102195200.

The previous prime is 76766544947. The next prime is 76766544973. The reversal of 76766544960 is 6944566767.

It is an interprime number because it is at equal distance from previous prime (76766544947) and next prime (76766544973).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 76766544894 and 76766544903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 586004095 + ... + 586004225.

It is an arithmetic number, because the mean of its divisors is an integer number (337962240).

Almost surely, 2^76766544960 is an apocalyptic number.

76766544960 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 76766544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151407083520).

76766544960 is an abundant number, since it is smaller than the sum of its proper divisors (226047622080).

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

76766544960 is a wasteful number, since it uses less digits than its factorization.

76766544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 76766544960 in words is "seventy-six billion, seven hundred sixty-six million, five hundred forty-four thousand, nine hundred sixty".