785727030400 has 384 divisors, whose sum is σ = 2205927561600. Its totient is φ = 274353192960.

The previous prime is 785727030379. The next prime is 785727030421. The reversal of 785727030400 is 4030727587.

It is an interprime number because it is at equal distance from previous prime (785727030379) and next prime (785727030421).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85150587 + ... + 85159813.

It is an arithmetic number, because the mean of its divisors is an integer number (5744603025).

Almost surely, 2^785727030400 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 785727030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102963780800).

785727030400 is an abundant number, since it is smaller than the sum of its proper divisors (1420200531200).

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

785727030400 is a wasteful number, since it uses less digits than its factorization.

785727030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

Adding to 785727030400 its reverse (4030727587), we get a palindrome (789757757987).

The spelling of 785727030400 in words is "seven hundred eighty-five billion, seven hundred twenty-seven million, thirty thousand, four hundred".