82798240 has 144 divisors (see below), whose sum is σ = 232696800. Its totient is φ = 27750912.

The previous prime is 82798231. The next prime is 82798259. The reversal of 82798240 is 4289728.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 82798193 and 82798202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462471 + ... + 462649.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^82798240 is an apocalyptic number.

82798240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

82798240 is an abundant number, since it is smaller than the sum of its proper divisors (149898560).

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

82798240 is a wasteful number, since it uses less digits than its factorization.

82798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 82798240 is about 9099.3538232118. The cubic root of 82798240 is about 435.8533300111.

Subtracting from 82798240 its product of nonzero digits (64512), we obtain a palindrome (82733728).

It can be divided in two parts, 82798 and 240, that added together give a palindrome (83038).

The spelling of 82798240 in words is "eighty-two million, seven hundred ninety-eight thousand, two hundred forty".