1377605880 has 448 divisors, whose sum is σ = 5637781440. Its totient is φ = 295612416.

The previous prime is 1377605833. The next prime is 1377605881. The reversal of 1377605880 is 885067731.

1377605880 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 60 + 588 + 0 = 666.

It is a super-2 number, since 2×1377605880² = 3795595921221148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377605881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3469842 + ... + 3470238.

Almost surely, 2^1377605880 is an apocalyptic number.

1377605880 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 1377605880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818890720).

1377605880 is an abundant number, since it is smaller than the sum of its proper divisors (4260175560).

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

1377605880 is a wasteful number, since it uses less digits than its factorization.

1377605880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1377605880 is about 37116.1134818828. The cubic root of 1377605880 is about 1112.6920777638.

The spelling of 1377605880 in words is "one billion, three hundred seventy-seven million, six hundred five thousand, eight hundred eighty".