82540800 has 162 divisors, whose sum is σ = 295307922. Its totient is φ = 21995520.

The previous prime is 82540793. The next prime is 82540811. The reversal of 82540800 is 804528.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 68161536 = 3792^2 + 8256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56884 + ... + 58316.

Almost surely, 2^82540800 is an apocalyptic number.

82540800 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 82540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147653961).

82540800 is an abundant number, since it is smaller than the sum of its proper divisors (212767122).

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

82540800 is a wasteful number, since it uses less digits than its factorization.

82540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82540800 is about 9085.1967507589. The cubic root of 82540800 is about 435.4011361213.

The spelling of 82540800 in words is "eighty-two million, five hundred forty thousand, eight hundred".