82278080 has 56 divisors (see below), whose sum is σ = 196973952. Its totient is φ = 32735232.

The previous prime is 82278073. The next prime is 82278089. The reversal of 82278080 is 8087228.

82278080 = 493² + 494² + ... + 715².

It is a self number, because there is not a number n which added to its sum of digits gives 82278080.

It is not an unprimeable number, because it can be changed into a prime (82278089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70784 + ... + 71936.

It is an arithmetic number, because the mean of its divisors is an integer number (3517392).

Almost surely, 2^82278080 is an apocalyptic number.

82278080 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 82278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98486976).

82278080 is an abundant number, since it is smaller than the sum of its proper divisors (114695872).

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

82278080 is a wasteful number, since it uses less digits than its factorization.

82278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 82278080 is about 9070.7265420142. The cubic root of 82278080 is about 434.9386974872.

The spelling of 82278080 in words is "eighty-two million, two hundred seventy-eight thousand, eighty".