766439136 has 72 divisors (see below), whose sum is σ = 2215342584. Its totient is φ = 251285760.

The previous prime is 766439131. The next prime is 766439159. The reversal of 766439136 is 631934667.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 766439091 and 766439100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766439131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4246 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (30768647).

Almost surely, 2^766439136 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 766439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107671292).

766439136 is an abundant number, since it is smaller than the sum of its proper divisors (1448903448).

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

766439136 is a wasteful number, since it uses less digits than its factorization.

766439136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43704 (or 43693 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 766439136 is about 27684.6371838245. The cubic root of 766439136 is about 915.1505763121.

The spelling of 766439136 in words is "seven hundred sixty-six million, four hundred thirty-nine thousand, one hundred thirty-six".