8761388400 has 180 divisors, whose sum is σ = 31146548160. Its totient is φ = 2279347200.

The previous prime is 8761388381. The next prime is 8761388411. The reversal of 8761388400 is 48831678.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 117921 + ... + 177279.

Almost surely, 2^8761388400 is an apocalyptic number.

8761388400 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 8761388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573274080).

8761388400 is an abundant number, since it is smaller than the sum of its proper divisors (22385159760).

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

8761388400 is a wasteful number, since it uses less digits than its factorization.

8761388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59424 (or 59410 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8761388400 is about 93602.2884335634. The cubic root of 8761388400 is about 2061.5362593867.

The spelling of 8761388400 in words is "eight billion, seven hundred sixty-one million, three hundred eighty-eight thousand, four hundred".