78838920 has 96 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 21021120.

The previous prime is 78838889. The next prime is 78838943. The reversal of 78838920 is 2983887.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5665 + ... + 13775.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^78838920 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 78838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

78838920 is an abundant number, since it is smaller than the sum of its proper divisors (186910200).

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

78838920 is a wasteful number, since it uses less digits than its factorization.

78838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 78838920 is about 8879.1283355969. The cubic root of 78838920 is about 428.7922119557.

The spelling of 78838920 in words is "seventy-eight million, eight hundred thirty-eight thousand, nine hundred twenty".