78885360 has 160 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 20646144.

The previous prime is 78885341. The next prime is 78885403. The reversal of 78885360 is 6358887.

It is a super-4 number, since 4×78885360⁴ (a number of 33 digits) contains 4444 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127131 + ... + 127749.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^78885360 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 78885360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

78885360 is an abundant number, since it is smaller than the sum of its proper divisors (197882640).

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

78885360 is a wasteful number, since it uses less digits than its factorization.

78885360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78885360 is about 8881.7430721678. The cubic root of 78885360 is about 428.8763886613.

The spelling of 78885360 in words is "seventy-eight million, eight hundred eighty-five thousand, three hundred sixty".