83807680 has 112 divisors (see below), whose sum is σ = 225491040. Its totient is φ = 29388800.

The previous prime is 83807641. The next prime is 83807683. The reversal of 83807680 is 8670838.

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 (83807683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101670 + ... + 102490.

Almost surely, 2^83807680 is an apocalyptic number.

83807680 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 83807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112745520).

83807680 is an abundant number, since it is smaller than the sum of its proper divisors (141683360).

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

83807680 is a wasteful number, since it uses less digits than its factorization.

83807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

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

The square root of 83807680 is about 9154.6534614916. The cubic root of 83807680 is about 437.6174248069.

The spelling of 83807680 in words is "eighty-three million, eight hundred seven thousand, six hundred eighty".