785321460 has 576 divisors, whose sum is σ = 3281886720. Its totient is φ = 152064000.

The previous prime is 785321441. The next prime is 785321491. The reversal of 785321460 is 64123587.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775410 + ... + 7775510.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2^785321460 is an apocalyptic number.

785321460 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 785321460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

785321460 is an abundant number, since it is smaller than the sum of its proper divisors (2496565260).

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

785321460 is a wasteful number, since it uses less digits than its factorization.

785321460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 785321460 is about 28023.5875647641. The cubic root of 785321460 is about 922.6050379438.

The spelling of 785321460 in words is "seven hundred eighty-five million, three hundred twenty-one thousand, four hundred sixty".