82413800 has 144 divisors (see below), whose sum is σ = 230297760. Its totient is φ = 26853120.

The previous prime is 82413797. The next prime is 82413829. The reversal of 82413800 is 831428.

It is a self number, because there is not a number n which added to its sum of digits gives 82413800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1916579 + ... + 1916621.

It is an arithmetic number, because the mean of its divisors is an integer number (1599290).

Almost surely, 2^82413800 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 82413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115148880).

82413800 is an abundant number, since it is smaller than the sum of its proper divisors (147883960).

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

82413800 is a wasteful number, since it uses less digits than its factorization.

82413800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82413800 is about 9078.2046683251. The cubic root of 82413800 is about 435.1777139729.

The spelling of 82413800 in words is "eighty-two million, four hundred thirteen thousand, eight hundred".