1378697760 has 480 divisors, whose sum is σ = 5598331200. Its totient is φ = 316016640.

The previous prime is 1378697743. The next prime is 1378697767. The reversal of 1378697760 is 677968731.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1378697697 and 1378697706.

It is not an unprimeable number, because it can be changed into a prime (1378697767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708386 + ... + 2708894.

It is an arithmetic number, because the mean of its divisors is an integer number (11663190).

Almost surely, 2^1378697760 is an apocalyptic number.

1378697760 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 1378697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799165600).

1378697760 is an abundant number, since it is smaller than the sum of its proper divisors (4219633440).

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

1378697760 is a wasteful number, since it uses less digits than its factorization.

1378697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1378697760 is about 37130.8195438776. The cubic root of 1378697760 is about 1112.9859705732.

The spelling of 1378697760 in words is "one billion, three hundred seventy-eight million, six hundred ninety-seven thousand, seven hundred sixty".