82900800 has 336 divisors, whose sum is σ = 321259200. Its totient is φ = 20736000.

The previous prime is 82900799. The next prime is 82900801. The reversal of 82900800 is 800928.

It is an interprime number because it is at equal distance from previous prime (82900799) and next prime (82900801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82900801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820750 + ... + 820850.

Almost surely, 2^82900800 is an apocalyptic number.

82900800 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 82900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160629600).

82900800 is an abundant number, since it is smaller than the sum of its proper divisors (238358400).

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

82900800 is a wasteful number, since it uses less digits than its factorization.

82900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82900800 is about 9104.9876441432. The cubic root of 82900800 is about 436.0332157732.

The spelling of 82900800 in words is "eighty-two million, nine hundred thousand, eight hundred".