1377976320 has 480 divisors, whose sum is σ = 5662137600. Its totient is φ = 311427072.

The previous prime is 1377976297. The next prime is 1377976331. The reversal of 1377976320 is 236797731.

1377976320 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482836 + ... + 15482924.

It is an arithmetic number, because the mean of its divisors is an integer number (11796120).

Almost surely, 2^1377976320 is an apocalyptic number.

1377976320 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 1377976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831068800).

1377976320 is an abundant number, since it is smaller than the sum of its proper divisors (4284161280).

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

1377976320 is an frugal number, since it uses more digits than its factorization.

1377976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 1377976320 is about 37121.1034318755. The cubic root of 1377976320 is about 1112.7918036044.

The spelling of 1377976320 in words is "one billion, three hundred seventy-seven million, nine hundred seventy-six thousand, three hundred twenty".