78874752 has 128 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 23475200.

The previous prime is 78874727. The next prime is 78874753. The reversal of 78874752 is 25747887.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78874753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299773 + ... + 300035.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 2^78874752 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 78874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960).

78874752 is an abundant number, since it is smaller than the sum of its proper divisors (153783168).

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

78874752 is a wasteful number, since it uses less digits than its factorization.

78874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its digits is 878080, while the sum is 48.

The square root of 78874752 is about 8881.1458720145. The cubic root of 78874752 is about 428.8571636125.

The spelling of 78874752 in words is "seventy-eight million, eight hundred seventy-four thousand, seven hundred fifty-two".