1580878320 has 320 divisors, whose sum is σ = 5903622144. Its totient is φ = 342144000.

The previous prime is 1580878309. The next prime is 1580878367. The reversal of 1580878320 is 238780851.

It is a happy number.

1580878320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6298195 + ... + 6298445.

Almost surely, 2^1580878320 is an apocalyptic number.

1580878320 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 1580878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951811072).

1580878320 is an abundant number, since it is smaller than the sum of its proper divisors (4322743824).

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

1580878320 is a wasteful number, since it uses less digits than its factorization.

1580878320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1580878320 is about 39760.2605625265. The cubic root of 1580878320 is about 1164.9290654128.

The spelling of 1580878320 in words is "one billion, five hundred eighty million, eight hundred seventy-eight thousand, three hundred twenty".