78536744 has 72 divisors (see below), whose sum is σ = 176545530. Its totient is φ = 32535360.

The previous prime is 78536723. The next prime is 78536749. The reversal of 78536744 is 44763587.

It can be written as a sum of positive squares in only one way, i.e., 75516100 + 3020644 = 8690^2 + 1738^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (564480) is a multiple of the sum of its prime divisors (105).

It is a junction number, because it is equal to n+sod(n) for n = 78536695 and 78536704.

It is not an unprimeable number, because it can be changed into a prime (78536749) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 994097 + ... + 994175.

Almost surely, 2^78536744 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 78536744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88272765).

78536744 is an abundant number, since it is smaller than the sum of its proper divisors (98008786).

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

78536744 is a wasteful number, since it uses less digits than its factorization.

78536744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 105 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 78536744 is about 8862.0959146243. The cubic root of 78536744 is about 428.2436816546.

The spelling of 78536744 in words is "seventy-eight million, five hundred thirty-six thousand, seven hundred forty-four".