766681146 has 256 divisors, whose sum is σ = 2239488000. Its totient is φ = 192628800.

The previous prime is 766681127. The next prime is 766681163. The reversal of 766681146 is 641186667.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10798291 + ... + 10798361.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2^766681146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766681146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119744000).

766681146 is an abundant number, since it is smaller than the sum of its proper divisors (1472806854).

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

766681146 is a wasteful number, since it uses less digits than its factorization.

766681146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 766681146 is about 27689.0076745267. The cubic root of 766681146 is about 915.2468884973.

The spelling of 766681146 in words is "seven hundred sixty-six million, six hundred eighty-one thousand, one hundred forty-six".