78891120 has 240 divisors, whose sum is σ = 330550272. Its totient is φ = 16381440.

The previous prime is 78891119. The next prime is 78891143. The reversal of 78891120 is 2119887.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54729 + ... + 56151.

Almost surely, 2^78891120 is an apocalyptic number.

78891120 is a gapful number since it is divisible by the number (70) 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 78891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165275136).

78891120 is an abundant number, since it is smaller than the sum of its proper divisors (251659152).

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

78891120 is a wasteful number, since it uses less digits than its factorization.

78891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 78891120 is about 8882.0673269234. The cubic root of 78891120 is about 428.8868268798.

It can be divided in two parts, 7889 and 1120, that added together give a palindrome (9009).

The spelling of 78891120 in words is "seventy-eight million, eight hundred ninety-one thousand, one hundred twenty".