76838215680 has 896 divisors, whose sum is σ = 298385544960. Its totient is φ = 18685624320.

The previous prime is 76838215679. The next prime is 76838215687. The reversal of 76838215680 is 8651283867.

76838215680 is a `hidden beast` number, since 76 + 8 + 3 + 8 + 2 + 1 + 568 + 0 = 666.

It is a super-2 number, since 2×76838215680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76838215687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146839007 + ... + 1146839073.

Almost surely, 2^76838215680 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 76838215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149192772480).

76838215680 is an abundant number, since it is smaller than the sum of its proper divisors (221547329280).

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

76838215680 is a wasteful number, since it uses less digits than its factorization.

76838215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 76838215680 in words is "seventy-six billion, eight hundred thirty-eight million, two hundred fifteen thousand, six hundred eighty".