766425120 has 192 divisors, whose sum is σ = 2509968384. Its totient is φ = 196439040.

The previous prime is 766425091. The next prime is 766425131. The reversal of 766425120 is 21524667.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465179 + ... + 1465701.

It is an arithmetic number, because the mean of its divisors is an integer number (13072752).

Almost surely, 2^766425120 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 766425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254984192).

766425120 is an abundant number, since it is smaller than the sum of its proper divisors (1743543264).

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

766425120 is a wasteful number, since it uses less digits than its factorization.

766425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 766425120 is about 27684.3840458841. The cubic root of 766425120 is about 915.1449977744.

Adding to 766425120 its reverse (21524667), we get a palindrome (787949787).

The spelling of 766425120 in words is "seven hundred sixty-six million, four hundred twenty-five thousand, one hundred twenty".