78735840 has 96 divisors (see below), whose sum is σ = 262634400. Its totient is φ = 19759104.

The previous prime is 78735821. The next prime is 78735859. The reversal of 78735840 is 4853787.

It is an interprime number because it is at equal distance from previous prime (78735821) and next prime (78735859).

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

It is a junction number, because it is equal to n+sod(n) for n = 78735792 and 78735801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3336 + ... + 12984.

It is an arithmetic number, because the mean of its divisors is an integer number (2735775).

Almost surely, 2^78735840 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 78735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131317200).

78735840 is an abundant number, since it is smaller than the sum of its proper divisors (183898560).

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

78735840 is a wasteful number, since it uses less digits than its factorization.

78735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 78735840 is about 8873.3218131656. The cubic root of 78735840 is about 428.6052519337.

The spelling of 78735840 in words is "seventy-eight million, seven hundred thirty-five thousand, eight hundred forty".