7964500 has 48 divisors (see below), whose sum is σ = 18437328. Its totient is φ = 2995200.

The previous prime is 7964471. The next prime is 7964549. The reversal of 7964500 is 54697.

It can be written as a sum of positive squares in 8 ways, for example, as 3579664 + 4384836 = 1892^2 + 2094^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8032 + ... + 8968.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^7964500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218664).

7964500 is an abundant number, since it is smaller than the sum of its proper divisors (10472828).

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

7964500 is a wasteful number, since it uses less digits than its factorization.

7964500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 7964500 is about 2822.1445746099. The cubic root of 7964500 is about 199.7037279979.

It can be divided in two parts, 7964 and 500, that added together give a square (8464 = 92²).

The spelling of 7964500 in words is "seven million, nine hundred sixty-four thousand, five hundred".