78314220 has 72 divisors (see below), whose sum is σ = 242633664. Its totient is φ = 20437248.

The previous prime is 78314147. The next prime is 78314221. The reversal of 78314220 is 2241387.

It is a super-2 number, since 2×78314220² = 12266234108416800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78314221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3832 + ... + 13088.

It is an arithmetic number, because the mean of its divisors is an integer number (3369912).

Almost surely, 2^78314220 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 78314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121316832).

78314220 is an abundant number, since it is smaller than the sum of its proper divisors (164319444).

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

78314220 is a wasteful number, since it uses less digits than its factorization.

78314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78314220 is about 8849.5321910257. The cubic root of 78314220 is about 427.8388408299.

The spelling of 78314220 in words is "seventy-eight million, three hundred fourteen thousand, two hundred twenty".