8407339920 has 400 divisors, whose sum is σ = 33841822080. Its totient is φ = 1894606848.

The previous prime is 8407339907. The next prime is 8407339979. The reversal of 8407339920 is 299337048.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3310011 + ... + 3312549.

Almost surely, 2^8407339920 is an apocalyptic number.

8407339920 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 8407339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920911040).

8407339920 is an abundant number, since it is smaller than the sum of its proper divisors (25434482160).

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

8407339920 is a wasteful number, since it uses less digits than its factorization.

8407339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8407339920 is about 91691.5477020647. The cubic root of 8407339920 is about 2033.3846260165.

The spelling of 8407339920 in words is "eight billion, four hundred seven million, three hundred thirty-nine thousand, nine hundred twenty".