82825800 has 192 divisors, whose sum is σ = 273077760. Its totient is φ = 20736000.

The previous prime is 82825789. The next prime is 82825823. The reversal of 82825800 is 852828.

It is a super-2 number, since 2×82825800² = 13720226291280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134564 + ... + 1134636.

It is an arithmetic number, because the mean of its divisors is an integer number (1422280).

Almost surely, 2^82825800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136538880).

82825800 is an abundant number, since it is smaller than the sum of its proper divisors (190251960).

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

82825800 is a wasteful number, since it uses less digits than its factorization.

82825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 82825800 is about 9100.8680904626. The cubic root of 82825800 is about 435.9016836365.

The spelling of 82825800 in words is "eighty-two million, eight hundred twenty-five thousand, eight hundred".