83204800 has 336 divisors, whose sum is σ = 272125440. Its totient is φ = 24330240.

The previous prime is 83204791. The next prime is 83204827. The reversal of 83204800 is 840238.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617589 + ... + 3617611.

Almost surely, 2^83204800 is an apocalyptic number.

83204800 is a gapful number since it is divisible by the number (80) 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 83204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

83204800 is an abundant number, since it is smaller than the sum of its proper divisors (188920640).

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

83204800 is a wasteful number, since it uses less digits than its factorization.

83204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 83204800 is about 9121.6665144040. Note that the first 3 decimals coincide. The cubic root of 83204800 is about 436.5655483929.

The spelling of 83204800 in words is "eighty-three million, two hundred four thousand, eight hundred".