78744960 has 480 divisors, whose sum is σ = 337677120. Its totient is φ = 17418240.

The previous prime is 78744943. The next prime is 78744971. The reversal of 78744960 is 6944787.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540145 + ... + 2540175.

It is an arithmetic number, because the mean of its divisors is an integer number (703494).

Almost surely, 2^78744960 is an apocalyptic number.

78744960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560).

78744960 is an abundant number, since it is smaller than the sum of its proper divisors (258932160).

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

78744960 is a wasteful number, since it uses less digits than its factorization.

78744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78744960 is about 8873.8356982761. The cubic root of 78744960 is about 428.6217997938.

The spelling of 78744960 in words is "seventy-eight million, seven hundred forty-four thousand, nine hundred sixty".