83807820 has 72 divisors (see below), whose sum is σ = 255016944. Its totient is φ = 22278528.

The previous prime is 83807819. The next prime is 83807827. The reversal of 83807820 is 2870838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83807827) 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, 83562 + ... + 84558.

It is an arithmetic number, because the mean of its divisors is an integer number (3541902).

Almost surely, 2^83807820 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 83807820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127508472).

83807820 is an abundant number, since it is smaller than the sum of its proper divisors (171209124).

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

83807820 is a wasteful number, since it uses less digits than its factorization.

83807820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83807820 is about 9154.6611078729. The cubic root of 83807820 is about 437.6176684855.

The spelling of 83807820 in words is "eighty-three million, eight hundred seven thousand, eight hundred twenty".