1377835920 has 400 divisors, whose sum is σ = 5214190080. Its totient is φ = 336856320.

The previous prime is 1377835883. The next prime is 1377835957. The reversal of 1377835920 is 295387731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1377835883) and next prime (1377835957).

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 79 ways as a sum of consecutive naturals, for example, 44446305 + ... + 44446335.

Almost surely, 2^1377835920 is an apocalyptic number.

1377835920 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 1377835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607095040).

1377835920 is an abundant number, since it is smaller than the sum of its proper divisors (3836354160).

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

1377835920 is an equidigital number, since it uses as much as digits as its factorization.

1377835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1377835920 is about 37119.2122761246. The cubic root of 1377835920 is about 1112.7540087421.

The spelling of 1377835920 in words is "one billion, three hundred seventy-seven million, eight hundred thirty-five thousand, nine hundred twenty".