764072106 has 64 divisors (see below), whose sum is σ = 1912999680. Its totient is φ = 198374400.

The previous prime is 764072069. The next prime is 764072107. The reversal of 764072106 is 601270467.

It is not an unprimeable number, because it can be changed into a prime (764072107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2256 + ... + 39156.

It is an arithmetic number, because the mean of its divisors is an integer number (29890620).

Almost surely, 2^764072106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764072106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956499840).

764072106 is an abundant number, since it is smaller than the sum of its proper divisors (1148927574).

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

764072106 is a wasteful number, since it uses less digits than its factorization.

764072106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36959.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 764072106 is about 27641.8542431581. The cubic root of 764072106 is about 914.2075039567.

The spelling of 764072106 in words is "seven hundred sixty-four million, seventy-two thousand, one hundred six".