8750400 has 84 divisors (see below), whose sum is σ = 28724352. Its totient is φ = 2332160.

The previous prime is 8750387. The next prime is 8750429. The reversal of 8750400 is 40578.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3889 + ... + 5711.

Almost surely, 2^8750400 is an apocalyptic number.

8750400 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 8750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

8750400 is an abundant number, since it is smaller than the sum of its proper divisors (19973952).

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

8750400 is a wasteful number, since it uses less digits than its factorization.

8750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 8750400 is about 2958.1075031175. The cubic root of 8750400 is about 206.0674049695.

Adding to 8750400 its reverse (40578), we get a palindrome (8790978).

The spelling of 8750400 in words is "eight million, seven hundred fifty thousand, four hundred".