78374802025 has 81 divisors (see below), whose sum is σ = 108535966479. Its totient is φ = 56116419840.

The previous prime is 78374802019. The next prime is 78374802043. The reversal of 78374802025 is 52020847387.

The square root of 78374802025 is 279955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 70584268329 + 7790533696 = 265677^2 + 88264^2 .

It is not a de Polignac number, because 78374802025 - 2⁵ = 78374801993 is a prime.

It is a super-2 number, since 2×78374802025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1073627389 + ... + 1073627461.

Almost surely, 2^78374802025 is an apocalyptic number.

78374802025 is the 279955-th square number.

78374802025 is the 139978-th centered octagonal number.

It is an amenable number.

78374802025 is a deficient number, since it is larger than the sum of its proper divisors (30161164454).

78374802025 is an equidigital number, since it uses as much as digits as its factorization.

78374802025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 78374802025 in words is "seventy-eight billion, three hundred seventy-four million, eight hundred two thousand, twenty-five".