78057792 has 84 divisors (see below), whose sum is σ = 231503220. Its totient is φ = 25116672.

The previous prime is 78057787. The next prime is 78057797. The reversal of 78057792 is 29775087.

78057792 is a `hidden beast` number, since 78 + 0 + 577 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (78057787) and next prime (78057797).

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 16842816 = 7824^2 + 4104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78057797) 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, 14368 + ... + 19040.

Almost surely, 2^78057792 is an apocalyptic number.

78057792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115751610).

78057792 is an abundant number, since it is smaller than the sum of its proper divisors (153445428).

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

78057792 is a wasteful number, since it uses less digits than its factorization.

78057792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 78057792 is about 8835.0320882270. The cubic root of 78057792 is about 427.3713658328.

The spelling of 78057792 in words is "seventy-eight million, fifty-seven thousand, seven hundred ninety-two".