8761011840 has 480 divisors, whose sum is σ = 36405814500. Its totient is φ = 2001936384.

The previous prime is 8761011827. The next prime is 8761011841. The reversal of 8761011840 is 481101678.

It can be written as a sum of positive squares in 2 ways, for example, as 7254950976 + 1506060864 = 85176^2 + 38808^2 .

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 a junction number, because it is equal to n+sod(n) for n = 8761011795 and 8761011804.

It is not an unprimeable number, because it can be changed into a prime (8761011841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2538436 + ... + 2541884.

Almost surely, 2^8761011840 is an apocalyptic number.

8761011840 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 8761011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202907250).

8761011840 is an abundant number, since it is smaller than the sum of its proper divisors (27644802660).

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

8761011840 is a wasteful number, since it uses less digits than its factorization.

8761011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8761011840 is about 93600.2769226673. The cubic root of 8761011840 is about 2061.5067243716.

The spelling of 8761011840 in words is "eight billion, seven hundred sixty-one million, eleven thousand, eight hundred forty".