8013769600 has 96 divisors (see below), whose sum is σ = 20170461240. Its totient is φ = 3144960000.

The previous prime is 8013769597. The next prime is 8013769627. The reversal of 8013769600 is 69673108.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145975 + ... + 193225.

Almost surely, 2^8013769600 is an apocalyptic number.

8013769600 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 8013769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085230620).

8013769600 is an abundant number, since it is smaller than the sum of its proper divisors (12156691640).

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

8013769600 is a wasteful number, since it uses less digits than its factorization.

8013769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47328 (or 47311 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 8013769600 is about 89519.6604104372. The cubic root of 8013769600 is about 2001.1468089556.

The spelling of 8013769600 in words is "eight billion, thirteen million, seven hundred sixty-nine thousand, six hundred".