76798117344 has 384 divisors, whose sum is σ = 237569310720. Its totient is φ = 21511526400.

The previous prime is 76798117343. The next prime is 76798117349. The reversal of 76798117344 is 44371189767.

It is a super-2 number, since 2×76798117344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76798117343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140398479 + ... + 140399025.

It is an arithmetic number, because the mean of its divisors is an integer number (618670080).

Almost surely, 2^76798117344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76798117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118784655360).

76798117344 is an abundant number, since it is smaller than the sum of its proper divisors (160771193376).

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

76798117344 is a wasteful number, since it uses less digits than its factorization.

76798117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The spelling of 76798117344 in words is "seventy-six billion, seven hundred ninety-eight million, one hundred seventeen thousand, three hundred forty-four".