82793700 has 108 divisors (see below), whose sum is σ = 283138128. Its totient is φ = 20068800.

The previous prime is 82793699. The next prime is 82793701. The reversal of 82793700 is 739728.

It is an interprime number because it is at equal distance from previous prime (82793699) and next prime (82793701).

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 (82793701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5719 + ... + 14081.

Almost surely, 2^82793700 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 82793700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141569064).

82793700 is an abundant number, since it is smaller than the sum of its proper divisors (200344428).

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

82793700 is a wasteful number, since it uses less digits than its factorization.

82793700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 82793700 is about 9099.1043515282. The cubic root of 82793700 is about 435.8453636167.

The spelling of 82793700 in words is "eighty-two million, seven hundred ninety-three thousand, seven hundred".