1377355980 has 768 divisors, whose sum is σ = 5852528640. Its totient is φ = 232243200.

The previous prime is 1377355979. The next prime is 1377356011. The reversal of 1377355980 is 895537731.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19399345 + ... + 19399415.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^1377355980 is an apocalyptic number.

1377355980 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 1377355980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

1377355980 is an abundant number, since it is smaller than the sum of its proper divisors (4475172660).

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

1377355980 is a wasteful number, since it uses less digits than its factorization.

1377355980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 1377355980 is about 37112.7468668111. The cubic root of 1377355980 is about 1112.6247922967.

The spelling of 1377355980 in words is "one billion, three hundred seventy-seven million, three hundred fifty-five thousand, nine hundred eighty".