786420000 has 360 divisors, whose sum is σ = 2970483516. Its totient is φ = 196608000.

The previous prime is 786419987. The next prime is 786420083. The reversal of 786420000 is 24687.

It can be written as a sum of positive squares in 10 ways, for example, as 29289744 + 757130256 = 5412^2 + 27516^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059872 + ... + 3060128.

Almost surely, 2^786420000 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 786420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485241758).

786420000 is an abundant number, since it is smaller than the sum of its proper divisors (2184063516).

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

786420000 is a wasteful number, since it uses less digits than its factorization.

786420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 786420000 is about 28043.1809893243. The cubic root of 786420000 is about 923.0350301500.

Adding to 786420000 its reverse (24687), we get a palindrome (786444687).

The spelling of 786420000 in words is "seven hundred eighty-six million, four hundred twenty thousand".