78457120 has 48 divisors (see below), whose sum is σ = 211837248. Its totient is φ = 26899200.

The previous prime is 78457111. The next prime is 78457121. The reversal of 78457120 is 2175487.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (78457121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33906 + ... + 36145.

It is an arithmetic number, because the mean of its divisors is an integer number (4413276).

Almost surely, 2^78457120 is an apocalyptic number.

78457120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78457120 is an abundant number, since it is smaller than the sum of its proper divisors (133380128).

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

78457120 is a wasteful number, since it uses less digits than its factorization.

78457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70073 (or 70065 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 78457120 is about 8857.6023843927. The cubic root of 78457120 is about 428.0989086342.

The spelling of 78457120 in words is "seventy-eight million, four hundred fifty-seven thousand, one hundred twenty".