78273792 has 108 divisors (see below), whose sum is σ = 230299524. Its totient is φ = 25559040.

The previous prime is 78273779. The next prime is 78273799. The reversal of 78273792 is 29737287.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 14017536 = 8016^2 + 3744^2 .

It is a super-2 number, since 2×78273792² = 12253573028118528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78273799) 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, 121792 + ... + 122432.

It is an arithmetic number, because the mean of its divisors is an integer number (2132403).

Almost surely, 2^78273792 is an apocalyptic number.

78273792 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 78273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115149762).

78273792 is an abundant number, since it is smaller than the sum of its proper divisors (152025732).

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

78273792 is a wasteful number, since it uses less digits than its factorization.

78273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 699 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 78273792 is about 8847.2477076207. The cubic root of 78273792 is about 427.7652073491.

The spelling of 78273792 in words is "seventy-eight million, two hundred seventy-three thousand, seven hundred ninety-two".