863772480 has 168 divisors, whose sum is σ = 2999853792. Its totient is φ = 228105216.

The previous prime is 863772467. The next prime is 863772517. The reversal of 863772480 is 84277368.

It is a happy number.

863772480 is a `hidden beast` number, since 8 + 637 + 7 + 2 + 4 + 8 + 0 = 666.

863772480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×863772480³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306759 + ... + 309561.

Almost surely, 2^863772480 is an apocalyptic number.

863772480 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 863772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499926896).

863772480 is an abundant number, since it is smaller than the sum of its proper divisors (2136081312).

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

863772480 is a wasteful number, since it uses less digits than its factorization.

863772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2920 counting only the distinct ones).

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

The square root of 863772480 is about 29390.0064647832. The cubic root of 863772480 is about 952.3570207193.

The spelling of 863772480 in words is "eight hundred sixty-three million, seven hundred seventy-two thousand, four hundred eighty".