78616944 has 120 divisors (see below), whose sum is σ = 262459392. Its totient is φ = 21479040.

The previous prime is 78616939. The next prime is 78616949. The reversal of 78616944 is 44961687.

It is an interprime number because it is at equal distance from previous prime (78616939) and next prime (78616949).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78616944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78616949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21489 + ... + 24879.

Almost surely, 2^78616944 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 78616944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131229696).

78616944 is an abundant number, since it is smaller than the sum of its proper divisors (183842448).

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

78616944 is a wasteful number, since it uses less digits than its factorization.

78616944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3426 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 78616944 is about 8866.6196489981. The cubic root of 78616944 is about 428.3894030809.

The spelling of 78616944 in words is "seventy-eight million, six hundred sixteen thousand, nine hundred forty-four".