77976 has 48 divisors (see below), whose sum is σ = 228600. Its totient is φ = 24624.

The previous prime is 77969. The next prime is 77977. The reversal of 77976 is 67977.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77976.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77976.

It is not an unprimeable number, because it can be changed into a prime (77977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095 + ... + 4113.

2⁷⁷⁹⁷⁶ is an apocalyptic number.

77976 is a gapful number since it is divisible by the number (76) 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 77976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114300).

77976 is an abundant number, since it is smaller than the sum of its proper divisors (150624).

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

77976 is a wasteful number, since it uses less digits than its factorization.

77976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 77976 is about 279.2418306773. The cubic root of 77976 is about 42.7222041534.

Subtracting from 77976 its reverse (67977), we obtain a palindrome (9999).

The spelling of 77976 in words is "seventy-seven thousand, nine hundred seventy-six".