78887520 has 144 divisors (see below), whose sum is σ = 279311760. Its totient is φ = 21026304.

The previous prime is 78887519. The next prime is 78887533. The reversal of 78887520 is 2578887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37866 + ... + 39894.

It is an arithmetic number, because the mean of its divisors is an integer number (1939665).

Almost surely, 2^78887520 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 78887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139655880).

78887520 is an abundant number, since it is smaller than the sum of its proper divisors (200424240).

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

78887520 is a wasteful number, since it uses less digits than its factorization.

78887520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 78887520 is about 8881.8646690884. The cubic root of 78887520 is about 428.8803030528.

The spelling of 78887520 in words is "seventy-eight million, eight hundred eighty-seven thousand, five hundred twenty".