8053279200 has 720 divisors, whose sum is σ = 32062947840. Its totient is φ = 1959552000.

The previous prime is 8053279159. The next prime is 8053279217. The reversal of 8053279200 is 29723508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38167095 + ... + 38167305.

It is an arithmetic number, because the mean of its divisors is an integer number (44531872).

Almost surely, 2^8053279200 is an apocalyptic number.

8053279200 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 8053279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031473920).

8053279200 is an abundant number, since it is smaller than the sum of its proper divisors (24009668640).

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

8053279200 is a wasteful number, since it uses less digits than its factorization.

8053279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8053279200 is about 89740.0646311334. The cubic root of 8053279200 is about 2004.4301131367.

The spelling of 8053279200 in words is "eight billion, fifty-three million, two hundred seventy-nine thousand, two hundred".