760001770000 has 400 divisors, whose sum is σ = 2059462810944. Its totient is φ = 269280000000.

The previous prime is 760001769997. The next prime is 760001770009. The reversal of 760001770000 is 77100067.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (760001770009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 744369490 + ... + 744370510.

Almost surely, 2^760001770000 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 760001770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029731405472).

760001770000 is an abundant number, since it is smaller than the sum of its proper divisors (1299461040944).

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

760001770000 is a wasteful number, since it uses less digits than its factorization.

760001770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

Adding to 760001770000 its reverse (77100067), we get a palindrome (760078870067).

The spelling of 760001770000 in words is "seven hundred sixty billion, one million, seven hundred seventy thousand".