766161000 has 384 divisors, whose sum is σ = 2891116800. Its totient is φ = 181440000.

The previous prime is 766160977. The next prime is 766161017. The reversal of 766161000 is 161667.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7028946 + ... + 7029054.

It is an arithmetic number, because the mean of its divisors is an integer number (7528950).

Almost surely, 2^766161000 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 766161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445558400).

766161000 is an abundant number, since it is smaller than the sum of its proper divisors (2124955800).

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

766161000 is a wasteful number, since it uses less digits than its factorization.

766161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 766161000 is about 27679.6134366071. The cubic root of 766161000 is about 915.0398620993.

The spelling of 766161000 in words is "seven hundred sixty-six million, one hundred sixty-one thousand".