76895844480 has 1024 divisors, whose sum is σ = 339978240000. Its totient is φ = 15992930304.

The previous prime is 76895844451. The next prime is 76895844481. The reversal of 76895844480 is 8444859867.

76895844480 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 584 + 4 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76895844481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124225611 + ... + 124226229.

It is an arithmetic number, because the mean of its divisors is an integer number (332010000).

Almost surely, 2^76895844480 is an apocalyptic number.

76895844480 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 76895844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120000).

76895844480 is an abundant number, since it is smaller than the sum of its proper divisors (263082395520).

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

76895844480 is a wasteful number, since it uses less digits than its factorization.

76895844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 76895844480 in words is "seventy-six billion, eight hundred ninety-five million, eight hundred forty-four thousand, four hundred eighty".