78013544 has 96 divisors (see below), whose sum is σ = 187634880. Its totient is φ = 29680128.

The previous prime is 78013543. The next prime is 78013547. The reversal of 78013544 is 44531087.

It is a super-2 number, since 2×78013544² = 12172226094879872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78013544.

It is not an unprimeable number, because it can be changed into a prime (78013541) 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 23 ways as a sum of consecutive naturals, for example, 343559 + ... + 343785.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^78013544 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 78013544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93817440).

78013544 is an abundant number, since it is smaller than the sum of its proper divisors (109621336).

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

78013544 is a wasteful number, since it uses less digits than its factorization.

78013544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 78013544 is about 8832.5276110522. The cubic root of 78013544 is about 427.2905970331.

The spelling of 78013544 in words is "seventy-eight million, thirteen thousand, five hundred forty-four".