76669680 has 80 divisors (see below), whose sum is σ = 241618464. Its totient is φ = 20106240.

The previous prime is 76669679. The next prime is 76669687. The reversal of 76669680 is 8696667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76669687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12022 + ... + 17258.

Almost surely, 2^76669680 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 76669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120809232).

76669680 is an abundant number, since it is smaller than the sum of its proper divisors (164948784).

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

76669680 is a wasteful number, since it uses less digits than its factorization.

76669680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 76669680 is about 8756.1224294776. The cubic root of 76669680 is about 424.8228650522.

The spelling of 76669680 in words is "seventy-six million, six hundred sixty-nine thousand, six hundred eighty".