8769314400 has 432 divisors, whose sum is σ = 36228306240. Its totient is φ = 1821926400.

The previous prime is 8769314399. The next prime is 8769314429. The reversal of 8769314400 is 44139678.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1290211 + ... + 1296989.

It is an arithmetic number, because the mean of its divisors is an integer number (83861820).

Almost surely, 2^8769314400 is an apocalyptic number.

8769314400 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 8769314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114153120).

8769314400 is an abundant number, since it is smaller than the sum of its proper divisors (27458991840).

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

8769314400 is a wasteful number, since it uses less digits than its factorization.

8769314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 8769314400 is about 93644.6175708994. The cubic root of 8769314400 is about 2062.1577290620.

The spelling of 8769314400 in words is "eight billion, seven hundred sixty-nine million, three hundred fourteen thousand, four hundred".