82457880 has 64 divisors (see below), whose sum is σ = 250788960. Its totient is φ = 21685248.

The previous prime is 82457849. The next prime is 82457887. The reversal of 82457880 is 8875428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82457887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 13466.

Almost surely, 2^82457880 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 82457880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125394480).

82457880 is an abundant number, since it is smaller than the sum of its proper divisors (168331080).

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

82457880 is a wasteful number, since it uses less digits than its factorization.

82457880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 82457880 is about 9080.6321365861. The cubic root of 82457880 is about 435.2552868010.

The spelling of 82457880 in words is "eighty-two million, four hundred fifty-seven thousand, eight hundred eighty".