82094400 has 126 divisors (see below), whose sum is σ = 291834062. Its totient is φ = 21888000.

The previous prime is 82094393. The next prime is 82094407. The reversal of 82094400 is 449028.

It is an interprime number because it is at equal distance from previous prime (82094393) and next prime (82094407).

It can be written as a sum of positive squares in 3 ways, for example, as 15116544 + 66977856 = 3888^2 + 8184^2 .

It is a super-2 number, since 2×82094400² = 13478981022720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82094407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11550 + ... + 17250.

Almost surely, 2^82094400 is an apocalyptic number.

82094400 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 82094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145917031).

82094400 is an abundant number, since it is smaller than the sum of its proper divisors (209739662).

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

82094400 is a wasteful number, since it uses less digits than its factorization.

82094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82094400 is about 9060.5960068861. The cubic root of 82094400 is about 434.6147997044.

The spelling of 82094400 in words is "eighty-two million, ninety-four thousand, four hundred".