775008000 has 720 divisors, whose sum is σ = 3240933696. Its totient is φ = 182476800.

The previous prime is 775007993. The next prime is 775008001. The reversal of 775008000 is 800577.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33695989 + ... + 33696011.

Almost surely, 2^775008000 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 775008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620466848).

775008000 is an abundant number, since it is smaller than the sum of its proper divisors (2465925696).

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

775008000 is a wasteful number, since it uses less digits than its factorization.

775008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 775008000 is about 27838.9654980209. The cubic root of 775008000 is about 918.5484355821.

Adding to 775008000 its reverse (800577), we get a palindrome (775808577).

The spelling of 775008000 in words is "seven hundred seventy-five million, eight thousand".