78588792 has 80 divisors (see below), whose sum is σ = 229735440. Its totient is φ = 25052544.

The previous prime is 78588791. The next prime is 78588823. The reversal of 78588792 is 29788587.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78588791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12268 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (2871693).

Almost surely, 2^78588792 is an apocalyptic number.

78588792 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 78588792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114867720).

78588792 is an abundant number, since it is smaller than the sum of its proper divisors (151146648).

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

78588792 is a wasteful number, since it uses less digits than its factorization.

78588792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5301 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 78588792 is about 8865.0319796377. The cubic root of 78588792 is about 428.3382628827.

The spelling of 78588792 in words is "seventy-eight million, five hundred eighty-eight thousand, seven hundred ninety-two".