1377878790 has 64 divisors (see below), whose sum is σ = 3396556800. Its totient is φ = 357563520.

The previous prime is 1377878773. The next prime is 1377878863. The reversal of 1377878790 is 978787731.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1377878790.

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, 252511 + ... + 257909.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^1377878790 is an apocalyptic number.

1377878790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377878790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

1377878790 is an abundant number, since it is smaller than the sum of its proper divisors (2018678010).

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

1377878790 is a wasteful number, since it uses less digits than its factorization.

1377878790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637.

The product of its (nonzero) digits is 4148928, while the sum is 57.

The square root of 1377878790 is about 37119.7897353959. The cubic root of 1377878790 is about 1112.7655493687.

The spelling of 1377878790 in words is "one billion, three hundred seventy-seven million, eight hundred seventy-eight thousand, seven hundred ninety".