76357680 has 240 divisors, whose sum is σ = 283624704. Its totient is φ = 16934400.

The previous prime is 76357679. The next prime is 76357747. The reversal of 76357680 is 8675367.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505605 + ... + 505755.

Almost surely, 2^76357680 is an apocalyptic number.

76357680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141812352).

76357680 is an abundant number, since it is smaller than the sum of its proper divisors (207267024).

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

76357680 is a wasteful number, since it uses less digits than its factorization.

76357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 76357680 is about 8738.2881618770. The cubic root of 76357680 is about 424.2458228011.

The spelling of 76357680 in words is "seventy-six million, three hundred fifty-seven thousand, six hundred eighty".