82376800 has 216 divisors, whose sum is σ = 236891088. Its totient is φ = 27878400.

The previous prime is 82376797. The next prime is 82376807. The reversal of 82376800 is 867328.

It is a happy number.

It is a super-3 number, since 3×82376800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2226382 + ... + 2226418.

It is an arithmetic number, because the mean of its divisors is an integer number (1096718).

Almost surely, 2^82376800 is an apocalyptic number.

82376800 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 82376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118445544).

82376800 is an abundant number, since it is smaller than the sum of its proper divisors (154514288).

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

82376800 is a wasteful number, since it uses less digits than its factorization.

82376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82376800 is about 9076.1665916840. The cubic root of 82376800 is about 435.1125793084.

The spelling of 82376800 in words is "eighty-two million, three hundred seventy-six thousand, eight hundred".