785948400 has 240 divisors, whose sum is σ = 2845636320. Its totient is φ = 205977600.

The previous prime is 785948389. The next prime is 785948447. The reversal of 785948400 is 4849587.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658204 + ... + 659396.

It is an arithmetic number, because the mean of its divisors is an integer number (11856818).

Almost surely, 2^785948400 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 785948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422818160).

785948400 is an abundant number, since it is smaller than the sum of its proper divisors (2059687920).

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

785948400 is a wasteful number, since it uses less digits than its factorization.

785948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 785948400 is about 28034.7712671247. The cubic root of 785948400 is about 922.8504848420.

The spelling of 785948400 in words is "seven hundred eighty-five million, nine hundred forty-eight thousand, four hundred".