78057856 has 32 divisors (see below), whose sum is σ = 156243600. Its totient is φ = 38843904.

The previous prime is 78057853. The next prime is 78057877. The reversal of 78057856 is 65875087.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×78057856³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78057851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27981 + ... + 30643.

Almost surely, 2^78057856 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 78057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121800).

78057856 is an abundant number, since it is smaller than the sum of its proper divisors (78185744).

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

78057856 is a wasteful number, since it uses less digits than its factorization.

78057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The square root of 78057856 is about 8835.0357101712. The cubic root of 78057856 is about 427.3714826341.

The spelling of 78057856 in words is "seventy-eight million, fifty-seven thousand, eight hundred fifty-six".