83782460304 has 45 divisors (see below), whose sum is σ = 234484245489. Its totient is φ = 27926328960.

The previous prime is 83782460273. The next prime is 83782460347. The reversal of 83782460304 is 40306428738.

The square root of 83782460304 is 289452.

It is a perfect power (a square), and thus also a powerful number.

83782460304 is a `hidden beast` number, since 8 + 37 + 8 + 2 + 4 + 603 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23855420304 + 59927040000 = 154452^2 + 244800^2 .

It is a super-3 number, since 3×83782460304³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83782460304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3461364 + ... + 3485484.

Almost surely, 2^83782460304 is an apocalyptic number.

83782460304 is the 289452-nd square number.

It is an amenable number.

83782460304 is an abundant number, since it is smaller than the sum of its proper divisors (150701785185).

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

83782460304 is an frugal number, since it uses more digits than its factorization.

83782460304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48256 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 83782460304 in words is "eighty-three billion, seven hundred eighty-two million, four hundred sixty thousand, three hundred four".