505507800780 has 192 divisors, whose sum is σ = 1605421762560. Its totient is φ = 132021792000.

The previous prime is 505507800739. The next prime is 505507800797. The reversal of 505507800780 is 87008705505.

It is a happy number.

505507800780 is a `hidden beast` number, since 505 + 5 + 0 + 78 + 0 + 0 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5745682 + ... + 5832998.

It is an arithmetic number, because the mean of its divisors is an integer number (8361571680).

Almost surely, 2^505507800780 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 505507800780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802710881280).

505507800780 is an abundant number, since it is smaller than the sum of its proper divisors (1099913961780).

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

505507800780 is a wasteful number, since it uses less digits than its factorization.

505507800780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87557 (or 87549 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 505507800780 in words is "five hundred five billion, five hundred seven million, eight hundred thousand, seven hundred eighty".