76629680 has 20 divisors (see below), whose sum is σ = 178164192. Its totient is φ = 30651840.

The previous prime is 76629673. The next prime is 76629689. The reversal of 76629680 is 8692667.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76629689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478856 + ... + 479015.

Almost surely, 2^76629680 is an apocalyptic number.

It is an amenable number.

76629680 is an abundant number, since it is smaller than the sum of its proper divisors (101534512).

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

76629680 is a wasteful number, since it uses less digits than its factorization.

76629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957884 (or 957878 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 76629680 is about 8753.8380154079. The cubic root of 76629680 is about 424.7489728668.

The spelling of 76629680 in words is "seventy-six million, six hundred twenty-nine thousand, six hundred eighty".