7825300000 has 216 divisors, whose sum is σ = 22414260708. Its totient is φ = 2681280000.

The previous prime is 7825299997. The next prime is 7825300019. The reversal of 7825300000 is 35287.

It can be written as a sum of positive squares in 6 ways, for example, as 1900611216 + 5924688784 = 43596^2 + 76972^2 .

It is a sliding number, since 7825300000 = 12800000 + 7812500000 and 1/12800000 + 1/7812500000 = 0.00000007825300000.

It is a super-2 number, since 2×7825300000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4899202 + ... + 4900798.

Almost surely, 2^7825300000 is an apocalyptic number.

7825300000 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 7825300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207130354).

7825300000 is an abundant number, since it is smaller than the sum of its proper divisors (14588960708).

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

7825300000 is an equidigital number, since it uses as much as digits as its factorization.

7825300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 7825300000 is about 88460.7257487751. The cubic root of 7825300000 is about 1985.3343894572.

Adding to 7825300000 its reverse (35287), we get a palindrome (7825335287).

The spelling of 7825300000 in words is "seven billion, eight hundred twenty-five million, three hundred thousand".