1301780480 has 384 divisors, whose sum is σ = 4226826240. Its totient is φ = 371589120.

The previous prime is 1301780461. The next prime is 1301780503. The reversal of 1301780480 is 840871031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10250177 + ... + 10250303.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^1301780480 is an apocalyptic number.

1301780480 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 1301780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1301780480 is an abundant number, since it is smaller than the sum of its proper divisors (2925045760).

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

1301780480 is a wasteful number, since it uses less digits than its factorization.

1301780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1301780480 is about 36080.1951214236. The cubic root of 1301780480 is about 1091.8909129939.

The spelling of 1301780480 in words is "one billion, three hundred one million, seven hundred eighty thousand, four hundred eighty".