83392080 has 80 divisors (see below), whose sum is σ = 265530624. Its totient is φ = 21634560.

The previous prime is 83392027. The next prime is 83392087. The reversal of 83392080 is 8029338.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83392087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4185 + ... + 13575.

Almost surely, 2^83392080 is an apocalyptic number.

83392080 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 83392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765312).

83392080 is an abundant number, since it is smaller than the sum of its proper divisors (182138544).

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

83392080 is a wasteful number, since it uses less digits than its factorization.

83392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83392080 is about 9131.9264123185. The cubic root of 83392080 is about 436.8928481393.

The spelling of 83392080 in words is "eighty-three million, three hundred ninety-two thousand, eighty".