82794000 has 80 divisors (see below), whose sum is σ = 266947200. Its totient is φ = 22076800.

The previous prime is 82793999. The next prime is 82794007. The reversal of 82794000 is 49728.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82794007) 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, 900 + ... + 12899.

It is an arithmetic number, because the mean of its divisors is an integer number (3336840).

Almost surely, 2^82794000 is an apocalyptic number.

82794000 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 82794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473600).

82794000 is an abundant number, since it is smaller than the sum of its proper divisors (184153200).

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

82794000 is a wasteful number, since it uses less digits than its factorization.

82794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82794000 is about 9099.1208366523. The cubic root of 82794000 is about 435.8458900394.

The spelling of 82794000 in words is "eighty-two million, seven hundred ninety-four thousand".