863354880 has 180 divisors, whose sum is σ = 2995428072. Its totient is φ = 230031360.

The previous prime is 863354879. The next prime is 863354881. The reversal of 863354880 is 88453368.

863354880 is a `hidden beast` number, since 8 + 633 + 5 + 4 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (863354879) and next prime (863354881).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863354881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736695 + ... + 737865.

Almost surely, 2^863354880 is an apocalyptic number.

863354880 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 863354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497714036).

863354880 is an abundant number, since it is smaller than the sum of its proper divisors (2132073192).

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

863354880 is a wasteful number, since it uses less digits than its factorization.

863354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 863354880 is about 29382.9011501587. The cubic root of 863354880 is about 952.2035202664.

The spelling of 863354880 in words is "eight hundred sixty-three million, three hundred fifty-four thousand, eight hundred eighty".