786481920 has 288 divisors, whose sum is σ = 3190602240. Its totient is φ = 179712000.

The previous prime is 786481909. The next prime is 786481961. The reversal of 786481920 is 29184687.

786481920 is a `hidden beast` number, since 7 + 86 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240295 + ... + 243545.

It is an arithmetic number, because the mean of its divisors is an integer number (11078480).

Almost surely, 2^786481920 is an apocalyptic number.

786481920 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 786481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595301120).

786481920 is an abundant number, since it is smaller than the sum of its proper divisors (2404120320).

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

786481920 is a wasteful number, since it uses less digits than its factorization.

786481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3268 counting only the distinct ones).

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

The square root of 786481920 is about 28044.2849792966. The cubic root of 786481920 is about 923.0592550464.

The spelling of 786481920 in words is "seven hundred eighty-six million, four hundred eighty-one thousand, nine hundred twenty".