78812160 has 176 divisors, whose sum is σ = 288479616. Its totient is φ = 17989632.

The previous prime is 78812131. The next prime is 78812161. The reversal of 78812160 is 6121887.

It is a happy number.

It is a super-2 number, since 2×78812160² = 12422713127731200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78812161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107154 + ... + 107886.

Almost surely, 2^78812160 is an apocalyptic number.

78812160 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 78812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144239808).

78812160 is an abundant number, since it is smaller than the sum of its proper divisors (209667456).

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

78812160 is a wasteful number, since it uses less digits than its factorization.

78812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 78812160 is about 8877.6213030293. The cubic root of 78812160 is about 428.7436920196.

The spelling of 78812160 in words is "seventy-eight million, eight hundred twelve thousand, one hundred sixty".