1377086400 has 336 divisors, whose sum is σ = 5079674880. Its totient is φ = 362880000.

The previous prime is 1377086363. The next prime is 1377086423. The reversal of 1377086400 is 46807731.

1377086400 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5486275 + ... + 5486525.

It is an arithmetic number, because the mean of its divisors is an integer number (15118080).

Almost surely, 2^1377086400 is an apocalyptic number.

1377086400 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 1377086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

1377086400 is an abundant number, since it is smaller than the sum of its proper divisors (3702588480).

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

1377086400 is a wasteful number, since it uses less digits than its factorization.

1377086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1377086400 is about 37109.1147832982. The cubic root of 1377086400 is about 1112.5521988722.

The spelling of 1377086400 in words is "one billion, three hundred seventy-seven million, eighty-six thousand, four hundred".