7825800 has 48 divisors (see below), whose sum is σ = 24261840. Its totient is φ = 2086720.

The previous prime is 7825789. The next prime is 7825813. The reversal of 7825800 is 85287.

It is a super-2 number, since 2×7825800² = 122486291280000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5922 + ... + 7121.

It is an arithmetic number, because the mean of its divisors is an integer number (505455).

Almost surely, 2^7825800 is an apocalyptic number.

It is an amenable number.

7825800 is an abundant number, since it is smaller than the sum of its proper divisors (16436040).

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

7825800 is a wasteful number, since it uses less digits than its factorization.

7825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13062 (or 13053 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 7825800 is about 2797.4631364863. The cubic root of 7825800 is about 198.5376673078.

It can be divided in two parts, 78 and 25800, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 7825800 in words is "seven million, eight hundred twenty-five thousand, eight hundred".