76680000 has 280 divisors, whose sum is σ = 285658560. Its totient is φ = 20160000.

The previous prime is 76679987. The next prime is 76680011. The reversal of 76680000 is 8667.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079965 + ... + 1080035.

Almost surely, 2^76680000 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 76680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829280).

76680000 is an abundant number, since it is smaller than the sum of its proper divisors (208978560).

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

76680000 is an equidigital number, since it uses as much as digits as its factorization.

76680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76680000 is about 8756.7117115959. The cubic root of 76680000 is about 424.8419250651.

Adding to 76680000 its reverse (8667), we get a palindrome (76688667).

The spelling of 76680000 in words is "seventy-six million, six hundred eighty thousand".