78983040 has 128 divisors (see below), whose sum is σ = 260075520. Its totient is φ = 20367360.

The previous prime is 78983029. The next prime is 78983053. The reversal of 78983040 is 4038987.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) 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 78983040.

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, 58857 + ... + 60183.

It is an arithmetic number, because the mean of its divisors is an integer number (2031840).

Almost surely, 2^78983040 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 78983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130037760).

78983040 is an abundant number, since it is smaller than the sum of its proper divisors (181092480).

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

78983040 is a wasteful number, since it uses less digits than its factorization.

78983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 78983040 is about 8887.2402915641. The cubic root of 78983040 is about 429.0533347440.

The spelling of 78983040 in words is "seventy-eight million, nine hundred eighty-three thousand, forty".