8765030400 has 360 divisors, whose sum is σ = 33154961280. Its totient is φ = 2001469440.

The previous prime is 8765030377. The next prime is 8765030479. The reversal of 8765030400 is 40305678.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601091 + ... + 8602109.

Almost surely, 2^8765030400 is an apocalyptic number.

8765030400 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 8765030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577480640).

8765030400 is an abundant number, since it is smaller than the sum of its proper divisors (24389930880).

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

8765030400 is a wasteful number, since it uses less digits than its factorization.

8765030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 8765030400 is about 93621.7410647762. The cubic root of 8765030400 is about 2061.8218714614.

The spelling of 8765030400 in words is "eight billion, seven hundred sixty-five million, thirty thousand, four hundred".