845214720 has 264 divisors, whose sum is σ = 3147532704. Its totient is φ = 193019904.

The previous prime is 845214697. The next prime is 845214737. The reversal of 845214720 is 27412548.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752079 + ... + 753201.

Almost surely, 2^845214720 is an apocalyptic number.

845214720 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 845214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573766352).

845214720 is an abundant number, since it is smaller than the sum of its proper divisors (2302317984).

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

845214720 is a wasteful number, since it uses less digits than its factorization.

845214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 845214720 is about 29072.5767691823. The cubic root of 845214720 is about 945.4872658570.

The spelling of 845214720 in words is "eight hundred forty-five million, two hundred fourteen thousand, seven hundred twenty".