76687680 has 224 divisors, whose sum is σ = 266858496. Its totient is φ = 18579456.

The previous prime is 76687673. The next prime is 76687703. The reversal of 76687680 is 8678667.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603777 + ... + 603903.

Almost surely, 2^76687680 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 76687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

76687680 is an abundant number, since it is smaller than the sum of its proper divisors (190170816).

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

76687680 is a wasteful number, since it uses less digits than its factorization.

76687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 76687680 is about 8757.1502213905. The cubic root of 76687680 is about 424.8561081509.

The spelling of 76687680 in words is "seventy-six million, six hundred eighty-seven thousand, six hundred eighty".