82577880 has 320 divisors, whose sum is σ = 347086080. Its totient is φ = 17107200.

The previous prime is 82577879. The next prime is 82577897. The reversal of 82577880 is 8877528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249315 + ... + 249645.

It is an arithmetic number, because the mean of its divisors is an integer number (1084644).

Almost surely, 2^82577880 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 82577880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173543040).

82577880 is an abundant number, since it is smaller than the sum of its proper divisors (264508200).

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

82577880 is a wasteful number, since it uses less digits than its factorization.

82577880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 82577880 is about 9087.2372039031. The cubic root of 82577880 is about 435.4663251234.

The spelling of 82577880 in words is "eighty-two million, five hundred seventy-seven thousand, eight hundred eighty".