773282349000 has 2048 divisors, whose sum is σ = 3493601280000. Its totient is φ = 153977241600.

The previous prime is 773282348953. The next prime is 773282349041. The reversal of 773282349000 is 943282377.

773282349000 is a `hidden beast` number, since 7 + 7 + 328 + 234 + 90 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3235490881 + ... + 3235491119.

It is an arithmetic number, because the mean of its divisors is an integer number (1705860000).

Almost surely, 2^773282349000 is an apocalyptic number.

773282349000 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 773282349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746800640000).

773282349000 is an abundant number, since it is smaller than the sum of its proper divisors (2720318931000).

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

773282349000 is a wasteful number, since it uses less digits than its factorization.

773282349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 773282349000 in words is "seven hundred seventy-three billion, two hundred eighty-two million, three hundred forty-nine thousand".