76946751840 has 384 divisors, whose sum is σ = 294141818880. Its totient is φ = 16505929728.

The previous prime is 76946751811. The next prime is 76946751881. The reversal of 76946751840 is 4815764967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22217949 + ... + 22221411.

It is an arithmetic number, because the mean of its divisors is an integer number (765994320).

Almost surely, 2^76946751840 is an apocalyptic number.

76946751840 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 76946751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147070909440).

76946751840 is an abundant number, since it is smaller than the sum of its proper divisors (217195067040).

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

76946751840 is a wasteful number, since it uses less digits than its factorization.

76946751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 76946751840 in words is "seventy-six billion, nine hundred forty-six million, seven hundred fifty-one thousand, eight hundred forty".