78105792 has 84 divisors (see below), whose sum is σ = 216311480. Its totient is φ = 24870912.

The previous prime is 78105791. The next prime is 78105829. The reversal of 78105792 is 29750187.

It is a super-2 number, since 2×78105792² = 12201029487894528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78105792.

It is not an unprimeable number, because it can be changed into a prime (78105791) 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, 101184 + ... + 101952.

Almost surely, 2^78105792 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 78105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108155740).

78105792 is an abundant number, since it is smaller than the sum of its proper divisors (138205688).

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

78105792 is a wasteful number, since it uses less digits than its factorization.

78105792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 78105792 is about 8837.7481294728. The cubic root of 78105792 is about 427.4589488983.

The spelling of 78105792 in words is "seventy-eight million, one hundred five thousand, seven hundred ninety-two".