8760400 has 90 divisors (see below), whose sum is σ = 23261966. Its totient is φ = 3168000.

The previous prime is 8760391. The next prime is 8760403. The reversal of 8760400 is 40678.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 8690704 = 264^2 + 2948^2 .

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 (8760403) 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, 48310 + ... + 48490.

Almost surely, 2^8760400 is an apocalyptic number.

8760400 is a gapful number since it is divisible by the number (80) 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 8760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630983).

8760400 is an abundant number, since it is smaller than the sum of its proper divisors (14501566).

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

8760400 is a wasteful number, since it uses less digits than its factorization.

8760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 8760400 is about 2959.7972903562. The cubic root of 8760400 is about 206.1458733658.

The spelling of 8760400 in words is "eight million, seven hundred sixty thousand, four hundred".