83872400 has 60 divisors (see below), whose sum is σ = 202455792. Its totient is φ = 33390720.

The previous prime is 83872387. The next prime is 83872423. The reversal of 83872400 is 427838.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122459 + ... + 123141.

Almost surely, 2^83872400 is an apocalyptic number.

83872400 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 83872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896).

83872400 is an abundant number, since it is smaller than the sum of its proper divisors (118583392).

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

83872400 is a wasteful number, since it uses less digits than its factorization.

83872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 83872400 is about 9158.1875936235. The cubic root of 83872400 is about 437.7300450036.

The spelling of 83872400 in words is "eighty-three million, eight hundred seventy-two thousand, four hundred".