78042748 has 48 divisors (see below), whose sum is σ = 164634624. Its totient is φ = 31662720.

The previous prime is 78042737. The next prime is 78042751. The reversal of 78042748 is 84724087.

It is a happy number.

It is a Smith number, since the sum of its digits (40) 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 78042748.

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, 39840 + ... + 41752.

It is an arithmetic number, because the mean of its divisors is an integer number (3429888).

Almost surely, 2^78042748 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 78042748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317312).

78042748 is an abundant number, since it is smaller than the sum of its proper divisors (86591876).

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

78042748 is a wasteful number, since it uses less digits than its factorization.

78042748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 78042748 is about 8834.1806637628. The cubic root of 78042748 is about 427.3439084504.

The spelling of 78042748 in words is "seventy-eight million, forty-two thousand, seven hundred forty-eight".