82789224 has 128 divisors (see below), whose sum is σ = 246240000. Its totient is φ = 23181312.

The previous prime is 82789207. The next prime is 82789241. The reversal of 82789224 is 42298728.

It is an interprime number because it is at equal distance from previous prime (82789207) and next prime (82789241).

It is a super-2 number, since 2×82789224² = 13708111221044352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732592 + ... + 732704.

It is an arithmetic number, because the mean of its divisors is an integer number (1923750).

Almost surely, 2^82789224 is an apocalyptic number.

82789224 is a gapful number since it is divisible by the number (84) 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 82789224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120000).

82789224 is an abundant number, since it is smaller than the sum of its proper divisors (163450776).

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

82789224 is a wasteful number, since it uses less digits than its factorization.

82789224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 82789224 is about 9098.8583899300. The cubic root of 82789224 is about 435.8375092389.

The spelling of 82789224 in words is "eighty-two million, seven hundred eighty-nine thousand, two hundred twenty-four".