1315802880 has 720 divisors, whose sum is σ = 5638987200. Its totient is φ = 292626432.

The previous prime is 1315802867. The next prime is 1315802899. The reversal of 1315802880 is 882085131.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 35562222 + ... + 35562258.

Almost surely, 2^1315802880 is an apocalyptic number.

1315802880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819493600).

1315802880 is an abundant number, since it is smaller than the sum of its proper divisors (4323184320).

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

1315802880 is an frugal number, since it uses more digits than its factorization.

1315802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1315802880 is about 36273.9972983403. The cubic root of 1315802880 is about 1095.7974300172.

The spelling of 1315802880 in words is "one billion, three hundred fifteen million, eight hundred two thousand, eight hundred eighty".