817253766 has 128 divisors (see below), whose sum is σ = 2140508160. Its totient is φ = 226302336.

The previous prime is 817253753. The next prime is 817253771. The reversal of 817253766 is 667352718.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2789116 + ... + 2789408.

It is an arithmetic number, because the mean of its divisors is an integer number (16722720).

Almost surely, 2^817253766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817253766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070254080).

817253766 is an abundant number, since it is smaller than the sum of its proper divisors (1323254394).

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

817253766 is a wasteful number, since it uses less digits than its factorization.

817253766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 817253766 is about 28587.6505855238. The cubic root of 817253766 is about 934.9440960980.

It can be divided in two parts, 81725 and 3766, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 817253766 in words is "eight hundred seventeen million, two hundred fifty-three thousand, seven hundred sixty-six".