1376780040 has 96 divisors (see below), whose sum is σ = 4480346520. Its totient is φ = 366664704.

The previous prime is 1376780039. The next prime is 1376780047. The reversal of 1376780040 is 400876731.

It can be written as a sum of positive squares in 4 ways, for example, as 1240871076 + 135908964 = 35226^2 + 11658^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1376779977 and 1376780004.

It is not an unprimeable number, because it can be changed into a prime (1376780047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341074 + ... + 345086.

Almost surely, 2^1376780040 is an apocalyptic number.

1376780040 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 1376780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240173260).

1376780040 is an abundant number, since it is smaller than the sum of its proper divisors (3103566480).

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

1376780040 is a wasteful number, since it uses less digits than its factorization.

1376780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983 (or 4976 counting only the distinct ones).

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

The square root of 1376780040 is about 37104.9867268538. The cubic root of 1376780040 is about 1112.4696897015.

The spelling of 1376780040 in words is "one billion, three hundred seventy-six million, seven hundred eighty thousand, forty".