8780050400 has 108 divisors (see below), whose sum is σ = 23560273296. Its totient is φ = 3192710400.

The previous prime is 8780050369. The next prime is 8780050427. The reversal of 8780050400 is 40500878.

8780050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51449 + ... + 142151.

Almost surely, 2^8780050400 is an apocalyptic number.

8780050400 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 8780050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780136648).

8780050400 is an abundant number, since it is smaller than the sum of its proper divisors (14780222896).

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

8780050400 is a wasteful number, since it uses less digits than its factorization.

8780050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90745 (or 90721 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8780050400 is about 93701.9231392825. The cubic root of 8780050400 is about 2062.9989311477.

The spelling of 8780050400 in words is "eight billion, seven hundred eighty million, fifty thousand, four hundred".