83007990 has 80 divisors (see below), whose sum is σ = 240398928. Its totient is φ = 20430144.

The previous prime is 83007971. The next prime is 83007997. The reversal of 83007990 is 9970038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83007997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6589 + ... + 14471.

Almost surely, 2^83007990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83007990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120199464).

83007990 is an abundant number, since it is smaller than the sum of its proper divisors (157390938).

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

83007990 is a wasteful number, since it uses less digits than its factorization.

83007990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7915 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 83007990 is about 9110.8720768102. The cubic root of 83007990 is about 436.2210638629.

It can be divided in two parts, 8300 and 7990, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 83007990 in words is "eighty-three million, seven thousand, nine hundred ninety".