78459920 has 160 divisors (see below), whose sum is σ = 233127936. Its totient is φ = 23846400.

The previous prime is 78459893. The next prime is 78459989. The reversal of 78459920 is 2995487.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 289385 + ... + 289655.

Almost surely, 2^78459920 is an apocalyptic number.

78459920 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 78459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116563968).

78459920 is an abundant number, since it is smaller than the sum of its proper divisors (154668016).

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

78459920 is a wasteful number, since it uses less digits than its factorization.

78459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 78459920 is about 8857.7604392984. The cubic root of 78459920 is about 428.1040012788.

The spelling of 78459920 in words is "seventy-eight million, four hundred fifty-nine thousand, nine hundred twenty".