7820800 has 120 divisors (see below), whose sum is σ = 21311136. Its totient is φ = 2826240.

The previous prime is 7820783. The next prime is 7820803. The reversal of 7820800 is 80287.

It is a super-2 number, since 2×7820800² = 122329825280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166377 + ... + 166423.

Almost surely, 2^7820800 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 7820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655568).

7820800 is an abundant number, since it is smaller than the sum of its proper divisors (13490336).

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

7820800 is a wasteful number, since it uses less digits than its factorization.

7820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 7820800 is about 2796.5693268718. The cubic root of 7820800 is about 198.4953755794.

The spelling of 7820800 in words is "seven million, eight hundred twenty thousand, eight hundred".