78057225 has 81 divisors (see below), whose sum is σ = 152468199. Its totient is φ = 38167200.

The previous prime is 78057223. The next prime is 78057229. The reversal of 78057225 is 52275087.

The square root of 78057225 is 8835.

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

78057225 is a `hidden beast` number, since 7 + 80 + 572 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28100601 + 49956624 = 5301^2 + 7068^2 .

It is not a de Polignac number, because 78057225 - 2¹ = 78057223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 78057225.

It is not an unprimeable number, because it can be changed into a prime (78057223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2517960 + ... + 2517990.

Almost surely, 2^78057225 is an apocalyptic number.

78057225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78057225 is the 8835-th square number.

78057225 is the 4418-th centered octagonal number.

It is an amenable number.

78057225 is a deficient number, since it is larger than the sum of its proper divisors (74410974).

78057225 is a wasteful number, since it uses less digits than its factorization.

78057225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The cubic root of 78057225 is about 427.3703310433.

Multiplying 78057225 by its sum of digits (36), we get a square (2810060100 = 53010²).

The spelling of 78057225 in words is "seventy-eight million, fifty-seven thousand, two hundred twenty-five".