76838976 has 112 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 25099776.

The previous prime is 76838959. The next prime is 76838977. The reversal of 76838976 is 67983867.

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

It is not an unprimeable number, because it can be changed into a prime (76838977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91165 + ... + 92003.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^76838976 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 76838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

76838976 is an abundant number, since it is smaller than the sum of its proper divisors (153589824).

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

76838976 is a wasteful number, since it uses less digits than its factorization.

76838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 897 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 76838976 is about 8765.7843915990. The cubic root of 76838976 is about 425.1353220755.

The spelling of 76838976 in words is "seventy-six million, eight hundred thirty-eight thousand, nine hundred seventy-six".