83792280 has 256 divisors, whose sum is σ = 312076800. Its totient is φ = 17694720.

The previous prime is 83792257. The next prime is 83792297. The reversal of 83792280 is 8229738.

It is a super-2 number, since 2×83792280² = 14042292375196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325912 + ... + 326168.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 2^83792280 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 83792280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

83792280 is an abundant number, since it is smaller than the sum of its proper divisors (228284520).

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

83792280 is a wasteful number, since it uses less digits than its factorization.

83792280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 83792280 is about 9153.8123205580. The cubic root of 83792280 is about 437.5906185080.

The spelling of 83792280 in words is "eighty-three million, seven hundred ninety-two thousand, two hundred eighty".