845570880 has 896 divisors, whose sum is σ = 3932651520. Its totient is φ = 165888000.

The previous prime is 845570867. The next prime is 845570897. The reversal of 845570880 is 88075548.

It is a super-2 number, since 2×845570880² = 1429980226207948800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 20623660 + ... + 20623700.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^845570880 is an apocalyptic number.

845570880 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 845570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966325760).

845570880 is an abundant number, since it is smaller than the sum of its proper divisors (3087080640).

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

845570880 is a wasteful number, since it uses less digits than its factorization.

845570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 845570880 is about 29078.7014840759. The cubic root of 845570880 is about 945.6200516246.

The spelling of 845570880 in words is "eight hundred forty-five million, five hundred seventy thousand, eight hundred eighty".