83807400 has 96 divisors (see below), whose sum is σ = 271143360. Its totient is φ = 21373440.

The previous prime is 83807389. The next prime is 83807401. The reversal of 83807400 is 470838.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83807401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10764 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (2824410).

Almost surely, 2^83807400 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 83807400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135571680).

83807400 is an abundant number, since it is smaller than the sum of its proper divisors (187335960).

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

83807400 is a wasteful number, since it uses less digits than its factorization.

83807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83807400 is about 9154.6381687099. The cubic root of 83807400 is about 437.6169374490.

The spelling of 83807400 in words is "eighty-three million, eight hundred seven thousand, four hundred".