8781937920 has 576 divisors, whose sum is σ = 36795924480. Its totient is φ = 1940889600.

The previous prime is 8781937907. The next prime is 8781937933. The reversal of 8781937920 is 297391878.

It is an interprime number because it is at equal distance from previous prime (8781937907) and next prime (8781937933).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7498935 + ... + 7500105.

Almost surely, 2^8781937920 is an apocalyptic number.

8781937920 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 8781937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397962240).

8781937920 is an abundant number, since it is smaller than the sum of its proper divisors (28013986560).

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

8781937920 is a wasteful number, since it uses less digits than its factorization.

8781937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 8781937920 is about 93711.9945364519. The cubic root of 8781937920 is about 2063.1467538655.

The spelling of 8781937920 in words is "eight billion, seven hundred eighty-one million, nine hundred thirty-seven thousand, nine hundred twenty".