770536000 has 224 divisors, whose sum is σ = 2130186240. Its totient is φ = 274176000.

The previous prime is 770535991. The next prime is 770536007. The reversal of 770536000 is 635077.

770536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 770536000.

It is not an unprimeable number, because it can be changed into a prime (770536007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3223881 + ... + 3224119.

It is an arithmetic number, because the mean of its divisors is an integer number (9509760).

Almost surely, 2^770536000 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 770536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

770536000 is an abundant number, since it is smaller than the sum of its proper divisors (1359650240).

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

770536000 is a wasteful number, since it uses less digits than its factorization.

770536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 770536000 is about 27758.5302204566. The cubic root of 770536000 is about 916.7782710764.

The spelling of 770536000 in words is "seven hundred seventy million, five hundred thirty-six thousand".