78283563264 has 405 divisors, whose sum is σ = 245416328157. Its totient is φ = 24818669568.

The previous prime is 78283563251. The next prime is 78283563277. The reversal of 78283563264 is 46236538287.

The square root of 78283563264 is 279792.

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

78283563264 is a `hidden beast` number, since 7 + 8 + 28 + 356 + 3 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (78283563251) and next prime (78283563277).

It can be written as a sum of positive squares in only one way, i.e., 41050001664 + 37233561600 = 202608^2 + 192960^2 .

It is a super-2 number, since 2×78283563264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78283563264.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1168411359 + ... + 1168411425.

Almost surely, 2^78283563264 is an apocalyptic number.

78283563264 is the 279792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78283563264

78283563264 is an abundant number, since it is smaller than the sum of its proper divisors (167132764893).

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

78283563264 is an frugal number, since it uses more digits than its factorization.

78283563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 101 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 78283563264 in words is "seventy-eight billion, two hundred eighty-three million, five hundred sixty-three thousand, two hundred sixty-four".