766879376384 has 264 divisors, whose sum is σ = 1824837157632. Its totient is φ = 319159664640.

The previous prime is 766879376377. The next prime is 766879376407. The reversal of 766879376384 is 483673978667.

It is a super-2 number, since 2×766879376384² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120442769 + ... + 120449135.

Almost surely, 2^766879376384 is an apocalyptic number.

766879376384 is a gapful number since it is divisible by the number (74) 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 766879376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912418578816).

766879376384 is an abundant number, since it is smaller than the sum of its proper divisors (1057957781248).

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

766879376384 is a wasteful number, since it uses less digits than its factorization.

766879376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6434 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 74.

The spelling of 766879376384 in words is "seven hundred sixty-six billion, eight hundred seventy-nine million, three hundred seventy-six thousand, three hundred eighty-four".