854280000 has 560 divisors, whose sum is σ = 3618341760. Its totient is φ = 193536000.

The previous prime is 854279969. The next prime is 854280001. The reversal of 854280000 is 82458.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854280001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7559944 + ... + 7560056.

Almost surely, 2^854280000 is an apocalyptic number.

854280000 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 854280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809170880).

854280000 is an abundant number, since it is smaller than the sum of its proper divisors (2764061760).

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

854280000 is a wasteful number, since it uses less digits than its factorization.

854280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 854280000 is about 29228.0687011646. The cubic root of 854280000 is about 948.8555007740.

The spelling of 854280000 in words is "eight hundred fifty-four million, two hundred eighty thousand".