540777120 has 192 divisors, whose sum is σ = 1859397120. Its totient is φ = 131309568.

The previous prime is 540777071. The next prime is 540777151. The reversal of 540777120 is 21777045.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492412 + ... + 493508.

It is an arithmetic number, because the mean of its divisors is an integer number (9684360).

Almost surely, 2^540777120 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 540777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929698560).

540777120 is an abundant number, since it is smaller than the sum of its proper divisors (1318620000).

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

540777120 is a wasteful number, since it uses less digits than its factorization.

540777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 540777120 is about 23254.6150258395. The cubic root of 540777120 is about 814.7157325944.

The spelling of 540777120 in words is "five hundred forty million, seven hundred seventy-seven thousand, one hundred twenty".