507380720 has 160 divisors (see below), whose sum is σ = 1518759936. Its totient is φ = 152985600.

The previous prime is 507380711. The next prime is 507380729. The reversal of 507380720 is 27083705.

It is an interprime number because it is at equal distance from previous prime (507380711) and next prime (507380729).

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 (507380729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189632 + ... + 192288.

Almost surely, 2^507380720 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 507380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759379968).

507380720 is an abundant number, since it is smaller than the sum of its proper divisors (1011379216).

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

507380720 is a wasteful number, since it uses less digits than its factorization.

507380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 507380720 is about 22525.1130962755. The cubic root of 507380720 is about 797.5868532223.

The spelling of 507380720 in words is "five hundred seven million, three hundred eighty thousand, seven hundred twenty".