785460000000 has 1152 divisors, whose sum is σ = 3018086023680. Its totient is φ = 179712000000.

The previous prime is 785459999999. The next prime is 785460000007. The reversal of 785460000000 is 64587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13250 × 12350 × 4800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785460000007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14819999974 + ... + 14820000026.

It is an arithmetic number, because the mean of its divisors is an integer number (2619866340).

Almost surely, 2^785460000000 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 785460000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509043011840).

785460000000 is an abundant number, since it is smaller than the sum of its proper divisors (2232626023680).

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

785460000000 is an frugal number, since it uses more digits than its factorization.

785460000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 785460000000 its reverse (64587), we get a palindrome (785460064587).

The spelling of 785460000000 in words is "seven hundred eighty-five billion, four hundred sixty million", and thus it is an aban number.