82074600 has 96 divisors (see below), whose sum is σ = 282720000. Its totient is φ = 21885120.

The previous prime is 82074599. The next prime is 82074607. The reversal of 82074600 is 647028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82074607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (2945000).

Almost surely, 2^82074600 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 82074600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360000).

82074600 is an abundant number, since it is smaller than the sum of its proper divisors (200645400).

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

82074600 is a wasteful number, since it uses less digits than its factorization.

82074600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82074600 is about 9059.5032976428. The cubic root of 82074600 is about 434.5798559285.

The spelling of 82074600 in words is "eighty-two million, seventy-four thousand, six hundred".