76135680 has 144 divisors (see below), whose sum is σ = 270298560. Its totient is φ = 20293632.

The previous prime is 76135669. The next prime is 76135687. The reversal of 76135680 is 8653167.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76135687) 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, 33459 + ... + 35661.

Almost surely, 2^76135680 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 76135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135149280).

76135680 is an abundant number, since it is smaller than the sum of its proper divisors (194162880).

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

76135680 is a wasteful number, since it uses less digits than its factorization.

76135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76135680 is about 8725.5761987390. The cubic root of 76135680 is about 423.8342772307.

The spelling of 76135680 in words is "seventy-six million, one hundred thirty-five thousand, six hundred eighty".