78282952200 has 120 divisors (see below), whose sum is σ = 271888346730. Its totient is φ = 20875449600.

The previous prime is 78282952193. The next prime is 78282952207. The reversal of 78282952200 is 225928287.

It is an interprime number because it is at equal distance from previous prime (78282952193) and next prime (78282952207).

It can be written as a sum of positive squares in 3 ways, for example, as 64807921476 + 13475030724 = 254574^2 + 116082^2 .

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

It is a super-2 number, since 2×78282952200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78282952207) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 2399941 + ... + 2432340.

Almost surely, 2^78282952200 is an apocalyptic number.

It is an amenable number.

78282952200 is an abundant number, since it is smaller than the sum of its proper divisors (193605394530).

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

78282952200 is a wasteful number, since it uses less digits than its factorization.

78282952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832309 (or 4832291 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78282952200 in words is "seventy-eight billion, two hundred eighty-two million, nine hundred fifty-two thousand, two hundred".