1377077440 has 224 divisors, whose sum is σ = 3628339200. Its totient is φ = 496005120.

The previous prime is 1377077417. The next prime is 1377077483. The reversal of 1377077440 is 447707731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1377077393 and 1377077402.

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, 17431321 + ... + 17431399.

Almost surely, 2^1377077440 is an apocalyptic number.

1377077440 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 1377077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814169600).

1377077440 is an abundant number, since it is smaller than the sum of its proper divisors (2251261760).

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

1377077440 is a wasteful number, since it uses less digits than its factorization.

1377077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 1377077440 is about 37108.9940580447. The cubic root of 1377077440 is about 1112.5497859300.

The spelling of 1377077440 in words is "one billion, three hundred seventy-seven million, seventy-seven thousand, four hundred forty".