76117680 has 120 divisors (see below), whose sum is σ = 259403040. Its totient is φ = 19998720.

The previous prime is 76117673. The next prime is 76117709. The reversal of 76117680 is 8671167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50376 + ... + 51864.

It is an arithmetic number, because the mean of its divisors is an integer number (2161692).

Almost surely, 2^76117680 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 76117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129701520).

76117680 is an abundant number, since it is smaller than the sum of its proper divisors (183285360).

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

76117680 is a wasteful number, since it uses less digits than its factorization.

76117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 76117680 is about 8724.5446872602. The cubic root of 76117680 is about 423.8008736269.

The spelling of 76117680 in words is "seventy-six million, one hundred seventeen thousand, six hundred eighty".