8379928400 has 60 divisors (see below), whose sum is σ = 20142898272. Its totient is φ = 3350286720.

The previous prime is 8379928369. The next prime is 8379928409. The reversal of 8379928400 is 48299738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8379928409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061267 + ... + 1069133.

Almost surely, 2^8379928400 is an apocalyptic number.

8379928400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8379928400 is an abundant number, since it is smaller than the sum of its proper divisors (11762969872).

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

8379928400 is a wasteful number, since it uses less digits than its factorization.

8379928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 8379928400 is about 91541.9488540636. The cubic root of 8379928400 is about 2031.1723190490.

The spelling of 8379928400 in words is "eight billion, three hundred seventy-nine million, nine hundred twenty-eight thousand, four hundred".