766410220 has 72 divisors (see below), whose sum is σ = 1717078608. Its totient is φ = 287280000.

The previous prime is 766410181. The next prime is 766410221. The reversal of 766410220 is 22014667.

It is not an unprimeable number, because it can be changed into a prime (766410221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728695 + ... + 729745.

It is an arithmetic number, because the mean of its divisors is an integer number (23848314).

Almost surely, 2^766410220 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 766410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858539304).

766410220 is an abundant number, since it is smaller than the sum of its proper divisors (950668388).

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

766410220 is a wasteful number, since it uses less digits than its factorization.

766410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 766410220 is about 27684.1149397990. The cubic root of 766410220 is about 915.1390673195.

Adding to 766410220 its reverse (22014667), we get a palindrome (788424887).

The spelling of 766410220 in words is "seven hundred sixty-six million, four hundred ten thousand, two hundred twenty".