76916679840 has 1920 divisors, whose sum is σ = 374978419200. Its totient is φ = 14753249280.

The previous prime is 76916679823. The next prime is 76916679859. The reversal of 76916679840 is 4897661967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6006 × 2310 × 5544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5916667674 + ... + 5916667686.

It is an arithmetic number, because the mean of its divisors is an integer number (195301260).

Almost surely, 2^76916679840 is an apocalyptic number.

76916679840 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 76916679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187489209600).

76916679840 is an abundant number, since it is smaller than the sum of its proper divisors (298061739360).

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

76916679840 is a wasteful number, since it uses less digits than its factorization.

76916679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 76916679840 in words is "seventy-six billion, nine hundred sixteen million, six hundred seventy-nine thousand, eight hundred forty".