76756680 has 512 divisors, whose sum is σ = 348364800. Its totient is φ = 14515200.

The previous prime is 76756663. The next prime is 76756697. The reversal of 76756680 is 8665767.

76756680 is a `hidden beast` number, since 7 + 6 + 7 + 566 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (76756663) and next prime (76756697).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081045 + ... + 1081115.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^76756680 is an apocalyptic number.

76756680 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 76756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

76756680 is an abundant number, since it is smaller than the sum of its proper divisors (271608120).

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

76756680 is a wasteful number, since it uses less digits than its factorization.

76756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 76756680 is about 8761.0889734096. The cubic root of 76756680 is about 424.9834918617.

The spelling of 76756680 in words is "seventy-six million, seven hundred fifty-six thousand, six hundred eighty".