1377813480 has 64 divisors (see below), whose sum is σ = 4146759360. Its totient is φ = 366233088.

The previous prime is 1377813431. The next prime is 1377813497. The reversal of 1377813480 is 843187731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19219 + ... + 55901.

It is an arithmetic number, because the mean of its divisors is an integer number (64793115).

Almost surely, 2^1377813480 is an apocalyptic number.

1377813480 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 1377813480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073379680).

1377813480 is an abundant number, since it is smaller than the sum of its proper divisors (2768945880).

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

1377813480 is a wasteful number, since it uses less digits than its factorization.

1377813480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37010 (or 37006 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1377813480 is about 37118.9100055484. The cubic root of 1377813480 is about 1112.7479677868.

The spelling of 1377813480 in words is "one billion, three hundred seventy-seven million, eight hundred thirteen thousand, four hundred eighty".