82427790240 has 120 divisors (see below), whose sum is σ = 290901455460. Its totient is φ = 21980740608.

The previous prime is 82427790233. The next prime is 82427790257. The reversal of 82427790240 is 4209772428.

It can be written as a sum of positive squares in 2 ways, for example, as 72259891344 + 10167898896 = 268812^2 + 100836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3167125 + ... + 3193044.

Almost surely, 2^82427790240 is an apocalyptic number.

82427790240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82427790240 is an abundant number, since it is smaller than the sum of its proper divisors (208473665220).

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

82427790240 is a wasteful number, since it uses less digits than its factorization.

82427790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360196 (or 6360179 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82427790240 in words is "eighty-two billion, four hundred twenty-seven million, seven hundred ninety thousand, two hundred forty".