785870402726880 has 3456 divisors, whose sum is σ = 3225412454584320. Its totient is φ = 173385819095040.

The previous prime is 785870402726879. The next prime is 785870402726977. The reversal of 785870402726880 is 88627204078587.

785870402726880 is a `hidden beast` number, since 7 + 8 + 5 + 8 + 70 + 402 + 72 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 785870402726799 and 785870402726808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 662064365647 + ... + 662064366833.

It is an arithmetic number, because the mean of its divisors is an integer number (933279066720).

Almost surely, 2^{785870402726880} 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 785870402726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612706227292160).

785870402726880 is an abundant number, since it is smaller than the sum of its proper divisors (2439542051857440).

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

785870402726880 is a wasteful number, since it uses less digits than its factorization.

785870402726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 785870402726880 in words is "seven hundred eighty-five trillion, eight hundred seventy billion, four hundred two million, seven hundred twenty-six thousand, eight hundred eighty".