785640948400 has 1080 divisors, whose sum is σ = 2599286968320. Its totient is φ = 222735744000.

The previous prime is 785640948383. The next prime is 785640948451. The reversal of 785640948400 is 4849046587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6186149137 + ... + 6186149263.

Almost surely, 2^785640948400 is an apocalyptic number.

785640948400 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 785640948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299643484160).

785640948400 is an abundant number, since it is smaller than the sum of its proper divisors (1813646019920).

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

785640948400 is a wasteful number, since it uses less digits than its factorization.

785640948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 785640948400 in words is "seven hundred eighty-five billion, six hundred forty million, nine hundred forty-eight thousand, four hundred".