786909816 has 288 divisors, whose sum is σ = 2808449280. Its totient is φ = 204120000.

The previous prime is 786909763. The next prime is 786909839. The reversal of 786909816 is 618909687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047441 + ... + 1048191.

It is an arithmetic number, because the mean of its divisors is an integer number (9751560).

Almost surely, 2^786909816 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 786909816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404224640).

786909816 is an abundant number, since it is smaller than the sum of its proper divisors (2021539464).

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

786909816 is a wasteful number, since it uses less digits than its factorization.

786909816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 786909816 is about 28051.9128759520. The cubic root of 786909816 is about 923.2266256049.

The spelling of 786909816 in words is "seven hundred eighty-six million, nine hundred nine thousand, eight hundred sixteen".