82796000 has 96 divisors (see below), whose sum is σ = 232569792. Its totient is φ = 28377600.

The previous prime is 82795997. The next prime is 82796003. The reversal of 82796000 is 69728.

It is an interprime number because it is at equal distance from previous prime (82795997) and next prime (82796003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82796003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26522 + ... + 29478.

It is an arithmetic number, because the mean of its divisors is an integer number (2422602).

Almost surely, 2^82796000 is an apocalyptic number.

82796000 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 82796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896).

82796000 is an abundant number, since it is smaller than the sum of its proper divisors (149773792).

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

82796000 is a wasteful number, since it uses less digits than its factorization.

82796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 82796000 is about 9099.2307367162. The cubic root of 82796000 is about 435.8493994917.

The spelling of 82796000 in words is "eighty-two million, seven hundred ninety-six thousand".