845928720 has 240 divisors, whose sum is σ = 3496776192. Its totient is φ = 178467840.

The previous prime is 845928709. The next prime is 845928731. The reversal of 845928720 is 27829548.

It is an interprime number because it is at equal distance from previous prime (845928709) and next prime (845928731).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59065 + ... + 71975.

Almost surely, 2^845928720 is an apocalyptic number.

845928720 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 845928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748388096).

845928720 is an abundant number, since it is smaller than the sum of its proper divisors (2650847472).

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

845928720 is a wasteful number, since it uses less digits than its factorization.

845928720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 845928720 is about 29084.8537902462. The cubic root of 845928720 is about 945.7534261944.

It can be divided in two parts, 845928 and 720, that added together give a palindrome (846648).

The spelling of 845928720 in words is "eight hundred forty-five million, nine hundred twenty-eight thousand, seven hundred twenty".