863772840 has 192 divisors, whose sum is σ = 3312092160. Its totient is φ = 191047680.

The previous prime is 863772829. The next prime is 863772841. The reversal of 863772840 is 48277368.

It is a happy number.

863772840 is a `hidden beast` number, since 8 + 637 + 7 + 2 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×863772840³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (863772841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72592 + ... + 83648.

It is an arithmetic number, because the mean of its divisors is an integer number (17250480).

Almost surely, 2^863772840 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 863772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656046080).

863772840 is an abundant number, since it is smaller than the sum of its proper divisors (2448319320).

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

863772840 is a wasteful number, since it uses less digits than its factorization.

863772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 863772840 is about 29390.0125893134. The cubic root of 863772840 is about 952.3571530259.

The spelling of 863772840 in words is "eight hundred sixty-three million, seven hundred seventy-two thousand, eight hundred forty".