78013152 has 96 divisors (see below), whose sum is σ = 260064000. Its totient is φ = 22287744.

The previous prime is 78013151. The next prime is 78013181. The reversal of 78013152 is 25131087.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78013151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (2709000).

Almost surely, 2^78013152 is an apocalyptic number.

78013152 is a gapful number since it is divisible by the number (72) 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 78013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130032000).

78013152 is an abundant number, since it is smaller than the sum of its proper divisors (182050848).

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

78013152 is a wasteful number, since it uses less digits than its factorization.

78013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78013152 is about 8832.5054203210. The cubic root of 78013152 is about 427.2898813531.

The spelling of 78013152 in words is "seventy-eight million, thirteen thousand, one hundred fifty-two".