76977968 has 40 divisors (see below), whose sum is σ = 157690800. Its totient is φ = 36301824.

The previous prime is 76977961. The next prime is 76978007. The reversal of 76977968 is 86977967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76977961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94748 + ... + 95556.

It is an arithmetic number, because the mean of its divisors is an integer number (3942270).

Almost surely, 2^76977968 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 76977968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78845400).

76977968 is an abundant number, since it is smaller than the sum of its proper divisors (80712832).

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

76977968 is a wasteful number, since it uses less digits than its factorization.

76977968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 59.

The square root of 76977968 is about 8773.7089078679. The cubic root of 76977968 is about 425.3915063650.

Subtracting 76977968 from its reverse (86977967), we obtain a palindrome (9999999).

The spelling of 76977968 in words is "seventy-six million, nine hundred seventy-seven thousand, nine hundred sixty-eight".