76682100 has 144 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 17596800.

The previous prime is 76682057. The next prime is 76682101. The reversal of 76682100 is 128667.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76682101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62089 + ... + 63311.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^76682100 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 76682100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

76682100 is an abundant number, since it is smaller than the sum of its proper divisors (178301580).

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

76682100 is a wasteful number, since it uses less digits than its factorization.

76682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 76682100 is about 8756.8316187991. The cubic root of 76682100 is about 424.8458033467.

The spelling of 76682100 in words is "seventy-six million, six hundred eighty-two thousand, one hundred".