76681632 has 48 divisors (see below), whose sum is σ = 210047040. Its totient is φ = 24448512.

The previous prime is 76681613. The next prime is 76681637. The reversal of 76681632 is 23618667.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76681637) 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, 15157 + ... + 19572.

It is an arithmetic number, because the mean of its divisors is an integer number (4375980).

Almost surely, 2^76681632 is an apocalyptic number.

It is an amenable number.

76681632 is an abundant number, since it is smaller than the sum of its proper divisors (133365408).

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

76681632 is a wasteful number, since it uses less digits than its factorization.

76681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34765 (or 34757 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 76681632 is about 8756.8048967646. The cubic root of 76681632 is about 424.8449390501.

The spelling of 76681632 in words is "seventy-six million, six hundred eighty-one thousand, six hundred thirty-two".