76682700 has 90 divisors (see below), whose sum is σ = 248601276. Its totient is φ = 20446560.

The previous prime is 76682681. The next prime is 76682719. The reversal of 76682700 is 728667.

It is an interprime number because it is at equal distance from previous prime (76682681) and next prime (76682719).

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3367 + ... + 12833.

Almost surely, 2^76682700 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 76682700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124300638).

76682700 is an abundant number, since it is smaller than the sum of its proper divisors (171918576).

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

76682700 is a wasteful number, since it uses less digits than its factorization.

76682700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76682700 is about 8756.8658776985. The cubic root of 76682700 is about 424.8469114141.

The spelling of 76682700 in words is "seventy-six million, six hundred eighty-two thousand, seven hundred".