1377964920 has 128 divisors (see below), whose sum is σ = 4417934400. Its totient is φ = 342614016.

The previous prime is 1377964919. The next prime is 1377964927. The reversal of 1377964920 is 294697731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1377964920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377964927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219262 + ... + 225458.

Almost surely, 2^1377964920 is an apocalyptic number.

1377964920 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 1377964920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208967200).

1377964920 is an abundant number, since it is smaller than the sum of its proper divisors (3039969480).

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

1377964920 is a wasteful number, since it uses less digits than its factorization.

1377964920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 1377964920 is about 37120.9498800879. The cubic root of 1377964920 is about 1112.7887348865.

The spelling of 1377964920 in words is "one billion, three hundred seventy-seven million, nine hundred sixty-four thousand, nine hundred twenty".