785412980352 has 1536 divisors, whose sum is σ = 3175352893440. Its totient is φ = 179756236800.

The previous prime is 785412980329. The next prime is 785412980381. The reversal of 785412980352 is 253089214587.

785412980352 is a `hidden beast` number, since 7 + 8 + 541 + 2 + 98 + 0 + 3 + 5 + 2 = 666.

It is a super-3 number, since 3×785412980352³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4539959338 + ... + 4539959510.

It is an arithmetic number, because the mean of its divisors is an integer number (2067287040).

Almost surely, 2^785412980352 is an apocalyptic number.

785412980352 is a gapful number since it is divisible by the number (72) 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 785412980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587676446720).

785412980352 is an abundant number, since it is smaller than the sum of its proper divisors (2389939913088).

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

785412980352 is a wasteful number, since it uses less digits than its factorization.

785412980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 785412980352 in words is "seven hundred eighty-five billion, four hundred twelve million, nine hundred eighty thousand, three hundred fifty-two".