855953280 has 768 divisors, whose sum is σ = 3849431040. Its totient is φ = 170311680.

The previous prime is 855953279. The next prime is 855953291. The reversal of 855953280 is 82359558.

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 95 ways as a sum of consecutive naturals, for example, 12055645 + ... + 12055715.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^855953280 is an apocalyptic number.

855953280 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 855953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

855953280 is an abundant number, since it is smaller than the sum of its proper divisors (2993477760).

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

855953280 is a wasteful number, since it uses less digits than its factorization.

855953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 855953280 is about 29256.6792373981. The cubic root of 855953280 is about 949.4746051456.

The spelling of 855953280 in words is "eight hundred fifty-five million, nine hundred fifty-three thousand, two hundred eighty".