536764800 has 768 divisors, whose sum is σ = 2294853120. Its totient is φ = 108134400.

The previous prime is 536764759. The next prime is 536764807. The reversal of 536764800 is 8467635.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536764807) 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, 23337589 + ... + 23337611.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^536764800 is an apocalyptic number.

536764800 is a gapful number since it is divisible by the number (50) 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 536764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560).

536764800 is an abundant number, since it is smaller than the sum of its proper divisors (1758088320).

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

536764800 is a wasteful number, since it uses less digits than its factorization.

536764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 536764800 is about 23168.1850821336. The cubic root of 536764800 is about 812.6957887143.

The spelling of 536764800 in words is "five hundred thirty-six million, seven hundred sixty-four thousand, eight hundred".