537580800 has 540 divisors, whose sum is σ = 2139105276. Its totient is φ = 132710400.

The previous prime is 537580787. The next prime is 537580837. The reversal of 537580800 is 8085735.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45805824 + 491774976 = 6768^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×537580800³ (a number of 27 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 8812770 + ... + 8812830.

Almost surely, 2^537580800 is an apocalyptic number.

537580800 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 537580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069552638).

537580800 is an abundant number, since it is smaller than the sum of its proper divisors (1601524476).

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

537580800 is a wasteful number, since it uses less digits than its factorization.

537580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 537580800 is about 23185.7887508707. The cubic root of 537580800 is about 813.1074053713.

The spelling of 537580800 in words is "five hundred thirty-seven million, five hundred eighty thousand, eight hundred".