78742144 has 64 divisors (see below), whose sum is σ = 171360000. Its totient is φ = 35822592.

The previous prime is 78742109. The next prime is 78742151. The reversal of 78742144 is 44124787.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131157 + ... + 131755.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^78742144 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 78742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

78742144 is an abundant number, since it is smaller than the sum of its proper divisors (92617856).

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

78742144 is a wasteful number, since it uses less digits than its factorization.

78742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its digits is 50176, while the sum is 37.

The square root of 78742144 is about 8873.6770281547. The cubic root of 78742144 is about 428.6166904155.

The spelling of 78742144 in words is "seventy-eight million, seven hundred forty-two thousand, one hundred forty-four".