82894400 has 84 divisors (see below), whose sum is σ = 206361792. Its totient is φ = 32770560.

The previous prime is 82894381. The next prime is 82894421. The reversal of 82894400 is 449828.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164549 + ... + 165051.

It is an arithmetic number, because the mean of its divisors is an integer number (2456688).

Almost surely, 2^82894400 is an apocalyptic number.

82894400 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 82894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

82894400 is an abundant number, since it is smaller than the sum of its proper divisors (123467392).

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

82894400 is a wasteful number, since it uses less digits than its factorization.

82894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82894400 is about 9104.6361816385. The cubic root of 82894400 is about 436.0219947942.

The spelling of 82894400 in words is "eighty-two million, eight hundred ninety-four thousand, four hundred".