7961800 has 144 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 2428800.

The previous prime is 7961783. The next prime is 7961803. The reversal of 7961800 is 81697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7961803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169377 + ... + 169423.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 2^7961800 is an apocalyptic number.

7961800 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 7961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

7961800 is an abundant number, since it is smaller than the sum of its proper divisors (15786680).

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

7961800 is a wasteful number, since it uses less digits than its factorization.

7961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 7961800 is about 2821.6661744437. Note that the first 3 decimals coincide. The cubic root of 7961800 is about 199.6811586377.

The spelling of 7961800 in words is "seven million, nine hundred sixty-one thousand, eight hundred".