76939680 has 96 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 20247552.

The previous prime is 76939633. The next prime is 76939691. The reversal of 76939680 is 8693967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36906 + ... + 38934.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2^76939680 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 76939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

76939680 is an abundant number, since it is smaller than the sum of its proper divisors (168609120).

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

76939680 is a wasteful number, since it uses less digits than its factorization.

76939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 76939680 is about 8771.5266630160. The cubic root of 76939680 is about 425.3209663063.

The spelling of 76939680 in words is "seventy-six million, nine hundred thirty-nine thousand, six hundred eighty".