8761284000 has 480 divisors, whose sum is σ = 36760179456. Its totient is φ = 2002060800.

The previous prime is 8761283957. The next prime is 8761284019. The reversal of 8761284000 is 4821678.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 2266069 + ... + 2269931.

Almost surely, 2^8761284000 is an apocalyptic number.

8761284000 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 8761284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18380089728).

8761284000 is an abundant number, since it is smaller than the sum of its proper divisors (27998895456).

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

8761284000 is a wasteful number, since it uses less digits than its factorization.

8761284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8761284000 is about 93601.7307532291. The cubic root of 8761284000 is about 2061.5280709874.

The spelling of 8761284000 in words is "eight billion, seven hundred sixty-one million, two hundred eighty-four thousand".