82687500 has 252 divisors, whose sum is σ = 311714760. Its totient is φ = 18900000.

The previous prime is 82687499. The next prime is 82687511. The reversal of 82687500 is 578628.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11812497 + ... + 11812503.

Almost surely, 2^82687500 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 82687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155857380).

82687500 is an abundant number, since it is smaller than the sum of its proper divisors (229027260).

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

82687500 is an equidigital number, since it uses as much as digits as its factorization.

82687500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82687500 is about 9093.2667397366. The cubic root of 82687500 is about 435.6589300173.

The spelling of 82687500 in words is "eighty-two million, six hundred eighty-seven thousand, five hundred".