78833920 has 108 divisors (see below), whose sum is σ = 207966780. Its totient is φ = 28610560.

The previous prime is 78833897. The next prime is 78833933. The reversal of 78833920 is 2933887.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 31719424 = 6864^2 + 5632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154626 + ... + 155134.

Almost surely, 2^78833920 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 78833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103983390).

78833920 is an abundant number, since it is smaller than the sum of its proper divisors (129132860).

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

78833920 is a wasteful number, since it uses less digits than its factorization.

78833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 78833920 is about 8878.8467719631. The cubic root of 78833920 is about 428.7831470320.

The spelling of 78833920 in words is "seventy-eight million, eight hundred thirty-three thousand, nine hundred twenty".