786470000 has 200 divisors, whose sum is σ = 2045345280. Its totient is φ = 292320000.

The previous prime is 786469987. The next prime is 786470051. The reversal of 786470000 is 74687.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13329971 + ... + 13330029.

Almost surely, 2^786470000 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 786470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022672640).

786470000 is an abundant number, since it is smaller than the sum of its proper divisors (1258875280).

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

786470000 is a wasteful number, since it uses less digits than its factorization.

786470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 786470000 is about 28044.0724574731. The cubic root of 786470000 is about 923.0545916962.

The spelling of 786470000 in words is "seven hundred eighty-six million, four hundred seventy thousand".