1479786880 has 512 divisors, whose sum is σ = 4688409600. Its totient is φ = 437944320.

The previous prime is 1479786877. The next prime is 1479786881. The reversal of 1479786880 is 886879741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1479786881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39994222 + ... + 39994258.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

It is a vampire number, since it can be written as 19760 ⋅ 74888 (with its own digits).

Almost surely, 2^1479786880 is an apocalyptic number.

1479786880 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 1479786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

1479786880 is an abundant number, since it is smaller than the sum of its proper divisors (3208622720).

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

1479786880 is a wasteful number, since it uses less digits than its factorization.

1479786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The square root of 1479786880 is about 38467.9981283144. The cubic root of 1479786880 is about 1139.5491394507.

The spelling of 1479786880 in words is "one billion, four hundred seventy-nine million, seven hundred eighty-six thousand, eight hundred eighty".