7928200 has 72 divisors (see below), whose sum is σ = 21469050. Its totient is φ = 2714880.

The previous prime is 7928191. The next prime is 7928201. The reversal of 7928200 is 28297.

It can be written as a sum of positive squares in 3 ways, for example, as 7150276 + 777924 = 2674^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (7928201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9396 + ... + 10204.

Almost surely, 2^7928200 is an apocalyptic number.

7928200 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 7928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734525).

7928200 is an abundant number, since it is smaller than the sum of its proper divisors (13540850).

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

7928200 is a wasteful number, since it uses less digits than its factorization.

7928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7928200 is about 2815.7059505566. The cubic root of 7928200 is about 199.3998676738.

It can be divided in two parts, 7928 and 200, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 7928200 in words is "seven million, nine hundred twenty-eight thousand, two hundred".