76405680 has 200 divisors, whose sum is σ = 286096272. Its totient is φ = 18786816.

The previous prime is 76405663. The next prime is 76405687. The reversal of 76405680 is 8650467.

It is a happy number.

76405680 is a `hidden beast` number, since 7 + 640 + 5 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76405687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83787 + ... + 84693.

Almost surely, 2^76405680 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 76405680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143048136).

76405680 is an abundant number, since it is smaller than the sum of its proper divisors (209690592).

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

76405680 is a wasteful number, since it uses less digits than its factorization.

76405680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76405680 is about 8741.0342637471. The cubic root of 76405680 is about 424.3347007151.

The spelling of 76405680 in words is "seventy-six million, four hundred five thousand, six hundred eighty".