766853136 has 240 divisors, whose sum is σ = 2712415680. Its totient is φ = 206115840.

The previous prime is 766853111. The next prime is 766853141. The reversal of 766853136 is 631358667.

Its product of digits (544320) is a multiple of the sum of its prime divisors (2160).

It is a junction number, because it is equal to n+sod(n) for n = 766853091 and 766853100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358791 + ... + 360921.

It is an arithmetic number, because the mean of its divisors is an integer number (11301732).

Almost surely, 2^766853136 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 766853136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356207840).

766853136 is an abundant number, since it is smaller than the sum of its proper divisors (1945562544).

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

766853136 is a wasteful number, since it uses less digits than its factorization.

766853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2160 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 766853136 is about 27692.1132454712. The cubic root of 766853136 is about 915.3153226583.

The spelling of 766853136 in words is "seven hundred sixty-six million, eight hundred fifty-three thousand, one hundred thirty-six".