82378440 has 48 divisors (see below), whose sum is σ = 267731100. Its totient is φ = 21967488.

The previous prime is 82378403. The next prime is 82378441. The reversal of 82378440 is 4487328.

It can be written as a sum of positive squares in 2 ways, for example, as 75377124 + 7001316 = 8682^2 + 2646^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 82378395 and 82378404.

It is not an unprimeable number, because it can be changed into a prime (82378441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114055 + ... + 114774.

Almost surely, 2^82378440 is an apocalyptic number.

It is an amenable number.

82378440 is an abundant number, since it is smaller than the sum of its proper divisors (185352660).

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

82378440 is a wasteful number, since it uses less digits than its factorization.

82378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228846 (or 228839 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82378440 is about 9076.2569377470. The cubic root of 82378440 is about 435.1154667714.

The spelling of 82378440 in words is "eighty-two million, three hundred seventy-eight thousand, four hundred forty".