8013772800 has 1152 divisors, whose sum is σ = 35097753600. Its totient is φ = 1769472000.

The previous prime is 8013772777. The next prime is 8013772801. The reversal of 8013772800 is 82773108.

8013772800 is a `hidden beast` number, since 8 + 0 + 1 + 377 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013772801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258508785 + ... + 258508815.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^8013772800 is an apocalyptic number.

8013772800 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 8013772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

8013772800 is an abundant number, since it is smaller than the sum of its proper divisors (27083980800).

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

8013772800 is a wasteful number, since it uses less digits than its factorization.

8013772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 8013772800 is about 89519.6782836042. The cubic root of 8013772800 is about 2001.1470753167.

The spelling of 8013772800 in words is "eight billion, thirteen million, seven hundred seventy-two thousand, eight hundred".