76883100 has 144 divisors (see below), whose sum is σ = 262649856. Its totient is φ = 16992000.

The previous prime is 76883099. The next prime is 76883113. The reversal of 76883100 is 138867.

It is a super-2 number, since 2×76883100² = 11822022131220000, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 64510 + ... + 65690.

Almost surely, 2^76883100 is an apocalyptic number.

76883100 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 76883100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131324928).

76883100 is an abundant number, since it is smaller than the sum of its proper divisors (185766756).

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

76883100 is a wasteful number, since it uses less digits than its factorization.

76883100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 76883100 is about 8768.3008616265. The cubic root of 76883100 is about 425.2166830480.

The spelling of 76883100 in words is "seventy-six million, eight hundred eighty-three thousand, one hundred".