82087400 has 48 divisors (see below), whose sum is σ = 197448300. Its totient is φ = 31700480.

The previous prime is 82087363. The next prime is 82087403. The reversal of 82087400 is 478028.

It can be written as a sum of positive squares in 6 ways, for example, as 25867396 + 56220004 = 5086^2 + 7498^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (82087403) 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 11 ways as a sum of consecutive naturals, for example, 1277 + ... + 12876.

Almost surely, 2^82087400 is an apocalyptic number.

It is an amenable number.

82087400 is an abundant number, since it is smaller than the sum of its proper divisors (115360900).

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

82087400 is a wasteful number, since it uses less digits than its factorization.

82087400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82087400 is about 9060.2097105972. The cubic root of 82087400 is about 434.6024464864.

The spelling of 82087400 in words is "eighty-two million, eighty-seven thousand, four hundred".