7385000 has 80 divisors (see below), whose sum is σ = 19868640. Its totient is φ = 2520000.

The previous prime is 7384943. The next prime is 7385009. The reversal of 7385000 is 5837.

7385000 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

7385000 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7385009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34895 + ... + 35105.

It is an arithmetic number, because the mean of its divisors is an integer number (248358).

Almost surely, 2^7385000 is an apocalyptic number.

7385000 is a gapful number since it is divisible by the number (70) 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 7385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934320).

7385000 is an abundant number, since it is smaller than the sum of its proper divisors (12483640).

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

7385000 is a wasteful number, since it uses less digits than its factorization.

7385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 7385000 is about 2717.5356483402. The cubic root of 7385000 is about 194.7377583800.

The spelling of 7385000 in words is "seven million, three hundred eighty-five thousand".