786885120 has 720 divisors, whose sum is σ = 3438483048. Its totient is φ = 165150720.

The previous prime is 786885089. The next prime is 786885157. The reversal of 786885120 is 21588687.

786885120 is a `hidden beast` number, since 78 + 68 + 8 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 537497856 + 249387264 = 23184^2 + 15792^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19192300 + ... + 19192340.

Almost surely, 2^786885120 is an apocalyptic number.

786885120 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 786885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719241524).

786885120 is an abundant number, since it is smaller than the sum of its proper divisors (2651597928).

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

786885120 is a wasteful number, since it uses less digits than its factorization.

786885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 786885120 is about 28051.4726886130. The cubic root of 786885120 is about 923.2169674701.

The spelling of 786885120 in words is "seven hundred eighty-six million, eight hundred eighty-five thousand, one hundred twenty".