8763840 has 168 divisors, whose sum is σ = 32095440. Its totient is φ = 2187264.

The previous prime is 8763827. The next prime is 8763841. The reversal of 8763840 is 483678.

8763840 = T₄₉₁ + T₄₉₂ + ... + T₅₅₄.

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 = 8763795 and 8763804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8763841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48871 + ... + 49049.

Almost surely, 2^8763840 is an apocalyptic number.

8763840 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 8763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).

8763840 is an abundant number, since it is smaller than the sum of its proper divisors (23331600).

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

8763840 is a wasteful number, since it uses less digits than its factorization.

8763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8763840 is about 2960.3783541973. The cubic root of 8763840 is about 206.1728526895.

It can be divided in two parts, 87638 and 40, that added together give a palindrome (87678).

The spelling of 8763840 in words is "eight million, seven hundred sixty-three thousand, eight hundred forty".