78057288 has 48 divisors (see below), whose sum is σ = 212098380. Its totient is φ = 25933824.

The previous prime is 78057283. The next prime is 78057289. The reversal of 78057288 is 88275087.

It is a happy number.

78057288 is a `hidden beast` number, since 78 + 0 + 572 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 1004004 = 8778^2 + 1002^2 .

It is a super-3 number, since 3×78057288³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (78057281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22656 + ... + 25872.

Almost surely, 2^78057288 is an apocalyptic number.

It is an amenable number.

78057288 is an abundant number, since it is smaller than the sum of its proper divisors (134041092).

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

78057288 is a wasteful number, since it uses less digits than its factorization.

78057288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 78057288 is about 8835.0035653643. The cubic root of 78057288 is about 427.3704460201.

The spelling of 78057288 in words is "seventy-eight million, fifty-seven thousand, two hundred eighty-eight".