8035387920 has 320 divisors, whose sum is σ = 32026759680. Its totient is φ = 1836660096.

The previous prime is 8035387903. The next prime is 8035387961. The reversal of 8035387920 is 297835308.

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

It is a zygodrome in base 9.

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, 1147912557 + ... + 1147912563.

It is an arithmetic number, because the mean of its divisors is an integer number (100083624).

Almost surely, 2^8035387920 is an apocalyptic number.

8035387920 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 8035387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013379840).

8035387920 is an abundant number, since it is smaller than the sum of its proper divisors (23991371760).

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

8035387920 is an frugal number, since it uses more digits than its factorization.

8035387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8035387920 is about 89640.3253006146. The cubic root of 8035387920 is about 2002.9446557070.

The spelling of 8035387920 in words is "eight billion, thirty-five million, three hundred eighty-seven thousand, nine hundred twenty".