78928210064025 has 243 divisors, whose sum is σ = 165646035656829. Its totient is φ = 35820912960000.

The previous prime is 78928210063949. The next prime is 78928210064047. The reversal of 78928210064025 is 52046001282987.

The square root of 78928210064025 is 8884155.

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

78928210064025 is a `hidden beast` number, since 78 + 92 + 82 + 1 + 0 + 0 + 6 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21113537932809 + 57814672131216 = 4594947^2 + 7603596^2 .

It is not a de Polignac number, because 78928210064025 - 2¹¹ = 78928210061977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 196828453825 + ... + 196828454225.

Almost surely, 2^{78928210064025} is an apocalyptic number.

78928210064025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78928210064025 is the 8884155-th square number.

78928210064025 is the 4442078-th centered octagonal number.

It is an amenable number.

78928210064025 is an abundant number, since it is smaller than the sum of its proper divisors (86717825592804).

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

78928210064025 is an equidigital number, since it uses as much as digits as its factorization.

78928210064025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 78928210064025 in words is "seventy-eight trillion, nine hundred twenty-eight billion, two hundred ten million, sixty-four thousand, twenty-five".