82293280 has 24 divisors (see below), whose sum is σ = 194418252. Its totient is φ = 32917248.

The previous prime is 82293269. The next prime is 82293293. The reversal of 82293280 is 8239228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 3225616 = 8892^2 + 1796^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257007 + ... + 257326.

Almost surely, 2^82293280 is an apocalyptic number.

82293280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82293280 is an abundant number, since it is smaller than the sum of its proper divisors (112124972).

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

82293280 is a wasteful number, since it uses less digits than its factorization.

82293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514348 (or 514340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 82293280 is about 9071.5643634381. The cubic root of 82293280 is about 434.9654792705.

The spelling of 82293280 in words is "eighty-two million, two hundred ninety-three thousand, two hundred eighty".