78112320 has 224 divisors, whose sum is σ = 291876480. Its totient is φ = 17448960.

The previous prime is 78112313. The next prime is 78112337. The reversal of 78112320 is 2321187.

It is a super-2 number, since 2×78112320² = 12203069071564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 136996 + ... + 137564.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^78112320 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 78112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

78112320 is an abundant number, since it is smaller than the sum of its proper divisors (213764160).

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

78112320 is a wasteful number, since it uses less digits than its factorization.

78112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 78112320 is about 8838.1174466059. The cubic root of 78112320 is about 427.4708574231.

The spelling of 78112320 in words is "seventy-eight million, one hundred twelve thousand, three hundred twenty".