83768800 has 36 divisors (see below), whose sum is σ = 204502536. Its totient is φ = 33507200.

The previous prime is 83768759. The next prime is 83768801. The reversal of 83768800 is 886738.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83768801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51556 + ... + 53155.

It is an arithmetic number, because the mean of its divisors is an integer number (5680626).

Almost surely, 2^83768800 is an apocalyptic number.

83768800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83768800 is an abundant number, since it is smaller than the sum of its proper divisors (120733736).

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

83768800 is a wasteful number, since it uses less digits than its factorization.

83768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104731 (or 104718 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 83768800 is about 9152.5297049504. The cubic root of 83768800 is about 437.5497412833.

The spelling of 83768800 in words is "eighty-three million, seven hundred sixty-eight thousand, eight hundred".