83278440 has 144 divisors (see below), whose sum is σ = 314910180. Its totient is φ = 19031040.

The previous prime is 83278417. The next prime is 83278451. The reversal of 83278440 is 4487238.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 213444 = 9114^2 + 462^2 .

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 = 83278395 and 83278404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15280 + ... + 20000.

Almost surely, 2^83278440 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 83278440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157455090).

83278440 is an abundant number, since it is smaller than the sum of its proper divisors (231631740).

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

83278440 is a wasteful number, since it uses less digits than its factorization.

83278440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4738 counting only the distinct ones).

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

The square root of 83278440 is about 9125.7021647652. The cubic root of 83278440 is about 436.6943038144.

The spelling of 83278440 in words is "eighty-three million, two hundred seventy-eight thousand, four hundred forty".