76938791748 has 768 divisors, whose sum is σ = 255343656960. Its totient is φ = 17468006400.

The previous prime is 76938791737. The next prime is 76938791753. The reversal of 76938791748 is 84719783967.

It is a super-2 number, since 2×76938791748² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1261291638 + ... + 1261291698.

It is an arithmetic number, because the mean of its divisors is an integer number (332478720).

Almost surely, 2^76938791748 is an apocalyptic number.

76938791748 is a gapful number since it is divisible by the number (78) 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 76938791748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127671828480).

76938791748 is an abundant number, since it is smaller than the sum of its proper divisors (178404865212).

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

76938791748 is a wasteful number, since it uses less digits than its factorization.

76938791748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 69.

The spelling of 76938791748 in words is "seventy-six billion, nine hundred thirty-eight million, seven hundred ninety-one thousand, seven hundred forty-eight".