785947352400 has 960 divisors, whose sum is σ = 3494450626560. Its totient is φ = 163615334400.

The previous prime is 785947352387. The next prime is 785947352423. The reversal of 785947352400 is 4253749587.

It is a happy number.

785947352400 is a `hidden beast` number, since 7 + 8 + 594 + 7 + 3 + 5 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39831337 + ... + 39851063.

It is an arithmetic number, because the mean of its divisors is an integer number (3640052736).

Almost surely, 2^785947352400 is an apocalyptic number.

785947352400 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 785947352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747225313280).

785947352400 is an abundant number, since it is smaller than the sum of its proper divisors (2708503274160).

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

785947352400 is a wasteful number, since it uses less digits than its factorization.

785947352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 785947352400 in words is "seven hundred eighty-five billion, nine hundred forty-seven million, three hundred fifty-two thousand, four hundred".