78833736 has 120 divisors (see below), whose sum is σ = 233732070. Its totient is φ = 24820992.

The previous prime is 78833731. The next prime is 78833753. The reversal of 78833736 is 63733887.

It can be written as a sum of positive squares in only one way, i.e., 73102500 + 5731236 = 8550^2 + 2394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78833691 and 78833700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78833731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 233760 + ... + 234096.

Almost surely, 2^78833736 is an apocalyptic number.

78833736 is a gapful number since it is divisible by the number (76) 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 78833736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116866035).

78833736 is an abundant number, since it is smaller than the sum of its proper divisors (154898334).

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

78833736 is a wasteful number, since it uses less digits than its factorization.

78833736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 361 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 78833736 is about 8878.8364102511. The cubic root of 78833736 is about 428.7828134355.

The spelling of 78833736 in words is "seventy-eight million, eight hundred thirty-three thousand, seven hundred thirty-six".