82444740 has 96 divisors (see below), whose sum is σ = 267536640. Its totient is φ = 18579456.

The previous prime is 82444711. The next prime is 82444751. The reversal of 82444740 is 4744428.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29316 + ... + 32004.

It is an arithmetic number, because the mean of its divisors is an integer number (2786840).

Almost surely, 2^82444740 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 82444740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133768320).

82444740 is an abundant number, since it is smaller than the sum of its proper divisors (185091900).

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

82444740 is a wasteful number, since it uses less digits than its factorization.

82444740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 82444740 is about 9079.9085898482. The cubic root of 82444740 is about 435.2321656702.

The spelling of 82444740 in words is "eighty-two million, four hundred forty-four thousand, seven hundred forty".