76381976 has 48 divisors (see below), whose sum is σ = 165744600. Its totient is φ = 32883840.

The previous prime is 76381951. The next prime is 76381979. The reversal of 76381976 is 67918367.

It is a self number, because there is not a number n which added to its sum of digits gives 76381976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76381979) 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, 16316 + ... + 20468.

Almost surely, 2^76381976 is an apocalyptic number.

76381976 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 76381976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82872300).

76381976 is an abundant number, since it is smaller than the sum of its proper divisors (89362624).

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

76381976 is a wasteful number, since it uses less digits than its factorization.

76381976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4185 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 76381976 is about 8739.6782549474. The cubic root of 76381976 is about 424.2908144922.

The spelling of 76381976 in words is "seventy-six million, three hundred eighty-one thousand, nine hundred seventy-six".