78057756 has 120 divisors (see below), whose sum is σ = 235913216. Its totient is φ = 22044960.

The previous prime is 78057751. The next prime is 78057781. The reversal of 78057756 is 65775087.

78057756 is a `hidden beast` number, since 78 + 0 + 577 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78057751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287901 + ... + 288171.

Almost surely, 2^78057756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78057756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117956608).

78057756 is an abundant number, since it is smaller than the sum of its proper divisors (157855460).

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

78057756 is a wasteful number, since it uses less digits than its factorization.

78057756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 78057756 is about 8835.0300508827. The cubic root of 78057756 is about 427.3713001320.

The spelling of 78057756 in words is "seventy-eight million, fifty-seven thousand, seven hundred fifty-six".