507880080 has 60 divisors (see below), whose sum is σ = 1705633020. Its totient is φ = 135434496.

The previous prime is 507880063. The next prime is 507880091. The reversal of 507880080 is 80088705.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 347300496 = 12672^2 + 18636^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351975 + ... + 353414.

It is an arithmetic number, because the mean of its divisors is an integer number (28427217).

Almost surely, 2^507880080 is an apocalyptic number.

It is an amenable number.

507880080 is an abundant number, since it is smaller than the sum of its proper divisors (1197752940).

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

507880080 is a wasteful number, since it uses less digits than its factorization.

507880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705408 (or 705399 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 507880080 is about 22536.1948873362. The cubic root of 507880080 is about 797.8484269376.

It can be divided in two parts, 5078 and 80080, that added together give a palindrome (85158).

The spelling of 507880080 in words is "five hundred seven million, eight hundred eighty thousand, eighty".