1377084480 has 112 divisors (see below), whose sum is σ = 4513380864. Its totient is φ = 355368960.

The previous prime is 1377084479. The next prime is 1377084487. The reversal of 1377084480 is 844807731.

It is not an unprimeable number, because it can be changed into a prime (1377084487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6624 + ... + 52896.

Almost surely, 2^1377084480 is an apocalyptic number.

1377084480 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 1377084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256690432).

1377084480 is an abundant number, since it is smaller than the sum of its proper divisors (3136296384).

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

1377084480 is a wasteful number, since it uses less digits than its factorization.

1377084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46324 (or 46314 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 1377084480 is about 37109.0889136341. The cubic root of 1377084480 is about 1112.5516818140.

The spelling of 1377084480 in words is "one billion, three hundred seventy-seven million, eighty-four thousand, four hundred eighty".