78068592 has 120 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 21749760.

The previous prime is 78068581. The next prime is 78068597. The reversal of 78068592 is 29586087.

It is a super-3 number, since 3×78068592³ (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 (78068597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40384 + ... + 42272.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^78068592 is an apocalyptic number.

78068592 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 78068592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

78068592 is an abundant number, since it is smaller than the sum of its proper divisors (177852528).

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

78068592 is a wasteful number, since it uses less digits than its factorization.

78068592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 78068592 is about 8835.6432703001. The cubic root of 78068592 is about 427.3910751523.

The spelling of 78068592 in words is "seventy-eight million, sixty-eight thousand, five hundred ninety-two".