78735744 has 96 divisors (see below), whose sum is σ = 232235640. Its totient is φ = 25589760.

The previous prime is 78735731. The next prime is 78735751. The reversal of 78735744 is 44753787.

78735744 is a `hidden beast` number, since 7 + 8 + 73 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78735744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46399 + ... + 48065.

Almost surely, 2^78735744 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 78735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117820).

78735744 is an abundant number, since it is smaller than the sum of its proper divisors (153499896).

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

78735744 is a wasteful number, since it uses less digits than its factorization.

78735744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 78735744 is about 8873.3164036903. The cubic root of 78735744 is about 428.6050777389.

The spelling of 78735744 in words is "seventy-eight million, seven hundred thirty-five thousand, seven hundred forty-four".