863213760 has 336 divisors, whose sum is σ = 3265176096. Its totient is φ = 216317952.

The previous prime is 863213749. The next prime is 863213761. The reversal of 863213760 is 67312368.

It is a happy number.

863213760 is a `hidden beast` number, since 8 + 632 + 13 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863213761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321594 + ... + 1322246.

It is an arithmetic number, because the mean of its divisors is an integer number (9717786).

Almost surely, 2^863213760 is an apocalyptic number.

863213760 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 863213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632588048).

863213760 is an abundant number, since it is smaller than the sum of its proper divisors (2401962336).

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

863213760 is a wasteful number, since it uses less digits than its factorization.

863213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 863213760 is about 29380.4996553837. The cubic root of 863213760 is about 952.1516365100.

The spelling of 863213760 in words is "eight hundred sixty-three million, two hundred thirteen thousand, seven hundred sixty".