771132000 has 192 divisors, whose sum is σ = 2547417600. Its totient is φ = 203916800.

The previous prime is 771131969. The next prime is 771132007. The reversal of 771132000 is 231177.

771132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×771132000² = 1189289122848000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771132007) 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, 2147821 + ... + 2148179.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^771132000 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 771132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

771132000 is an abundant number, since it is smaller than the sum of its proper divisors (1776285600).

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

771132000 is a wasteful number, since it uses less digits than its factorization.

771132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 771132000 is about 27769.2635840420. The cubic root of 771132000 is about 917.0145823507.

Adding to 771132000 its reverse (231177), we get a palindrome (771363177).

The spelling of 771132000 in words is "seven hundred seventy-one million, one hundred thirty-two thousand".