866453760 has 360 divisors, whose sum is σ = 3174156216. Its totient is φ = 225607680.

The previous prime is 866453759. The next prime is 866453767. The reversal of 866453760 is 67354668.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 862949376 = 1872^2 + 29376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (866453767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324412 + ... + 6324548.

Almost surely, 2^866453760 is an apocalyptic number.

866453760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587078108).

866453760 is an abundant number, since it is smaller than the sum of its proper divisors (2307702456).

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

866453760 is a wasteful number, since it uses less digits than its factorization.

866453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 866453760 is about 29435.5866257155. The cubic root of 866453760 is about 953.3414227665.

The spelling of 866453760 in words is "eight hundred sixty-six million, four hundred fifty-three thousand, seven hundred sixty".