78849120 has 192 divisors, whose sum is σ = 293400576. Its totient is φ = 17418240.

The previous prime is 78849103. The next prime is 78849137. The reversal of 78849120 is 2194887.

It is an interprime number because it is at equal distance from previous prime (78849103) and next prime (78849137).

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, 103782 + ... + 104538.

It is an arithmetic number, because the mean of its divisors is an integer number (1528128).

Almost surely, 2^78849120 is an apocalyptic number.

78849120 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 78849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146700288).

78849120 is an abundant number, since it is smaller than the sum of its proper divisors (214551456).

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

78849120 is a wasteful number, since it uses less digits than its factorization.

78849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 78849120 is about 8879.7026977259. The cubic root of 78849120 is about 428.8107032117.

The spelling of 78849120 in words is "seventy-eight million, eight hundred forty-nine thousand, one hundred twenty".