785403490959360 has 6912 divisors, whose sum is σ = 3754916226996480. Its totient is φ = 156031757844480.

The previous prime is 785403490959337. The next prime is 785403490959547. The reversal of 785403490959360 is 63959094304587.

785403490959360 is a `hidden beast` number, since 7 + 8 + 5 + 40 + 3 + 490 + 9 + 5 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×785403490959360² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21227121377262 + ... + 21227121377298.

It is an arithmetic number, because the mean of its divisors is an integer number (543245981915).

Almost surely, 2^{785403490959360} is an apocalyptic number.

785403490959360 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 785403490959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877458113498240).

785403490959360 is an abundant number, since it is smaller than the sum of its proper divisors (2969512736037120).

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

785403490959360 is an frugal number, since it uses more digits than its factorization.

785403490959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 785403490959360 in words is "seven hundred eighty-five trillion, four hundred three billion, four hundred ninety million, nine hundred fifty-nine thousand, three hundred sixty".