7947800 has 72 divisors (see below), whose sum is σ = 21522060. Its totient is φ = 2721600.

The previous prime is 7947799. The next prime is 7947803. The reversal of 7947800 is 87497.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947803) 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, 9395 + ... + 10205.

Almost surely, 2^7947800 is an apocalyptic number.

7947800 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 7947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761030).

7947800 is an abundant number, since it is smaller than the sum of its proper divisors (13574260).

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

7947800 is a wasteful number, since it uses less digits than its factorization.

7947800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 7947800 is about 2819.1842791843. The cubic root of 7947800 is about 199.5640504303.

The spelling of 7947800 in words is "seven million, nine hundred forty-seven thousand, eight hundred".