1378157760 has 224 divisors, whose sum is σ = 5556625920. Its totient is φ = 314993664.

The previous prime is 1378157743. The next prime is 1378157771. The reversal of 1378157760 is 677518731.

1378157760 is a `hidden beast` number, since 1 + 3 + 78 + 1 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1378157760² = 3798637622896435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49087 + ... + 71873.

Almost surely, 2^1378157760 is an apocalyptic number.

1378157760 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 1378157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778312960).

1378157760 is an abundant number, since it is smaller than the sum of its proper divisors (4178468160).

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

1378157760 is a wasteful number, since it uses less digits than its factorization.

1378157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22820 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 1378157760 is about 37123.5472443030. The cubic root of 1378157760 is about 1112.8406423933.

The spelling of 1378157760 in words is "one billion, three hundred seventy-eight million, one hundred fifty-seven thousand, seven hundred sixty".