854714880 has 120 divisors (see below), whose sum is σ = 2960197812. Its totient is φ = 227917824.

The previous prime is 854714869. The next prime is 854714947. The reversal of 854714880 is 88417458.

It can be written as a sum of positive squares in 2 ways, for example, as 810199296 + 44515584 = 28464^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4492 + ... + 41588.

Almost surely, 2^854714880 is an apocalyptic number.

854714880 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 854714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480098906).

854714880 is an abundant number, since it is smaller than the sum of its proper divisors (2105482932).

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

854714880 is a wasteful number, since it uses less digits than its factorization.

854714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37126 (or 37107 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 854714880 is about 29235.5071787715. The cubic root of 854714880 is about 949.0164816704.

The spelling of 854714880 in words is "eight hundred fifty-four million, seven hundred fourteen thousand, eight hundred eighty".