540812880 has 240 divisors, whose sum is σ = 1915056000. Its totient is φ = 136571904.

The previous prime is 540812819. The next prime is 540812897. The reversal of 540812880 is 88218045.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1231701 + ... + 1232139.

It is an arithmetic number, because the mean of its divisors is an integer number (7979400).

Almost surely, 2^540812880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528000).

540812880 is an abundant number, since it is smaller than the sum of its proper divisors (1374243120).

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

540812880 is a wasteful number, since it uses less digits than its factorization.

540812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 540812880 is about 23255.3838927677. The cubic root of 540812880 is about 814.7336904501.

The spelling of 540812880 in words is "five hundred forty million, eight hundred twelve thousand, eight hundred eighty".