1374796800 has 792 divisors, whose sum is σ = 5820783696. Its totient is φ = 318504960.

The previous prime is 1374796777. The next prime is 1374796807. The reversal of 1374796800 is 86974731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374796807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80870392 + ... + 80870408.

Almost surely, 2^1374796800 is an apocalyptic number.

1374796800 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 1374796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910391848).

1374796800 is an abundant number, since it is smaller than the sum of its proper divisors (4445986896).

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

1374796800 is a wasteful number, since it uses less digits than its factorization.

1374796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1374796800 is about 37078.2523860012. The cubic root of 1374796800 is about 1111.9352652825.

The spelling of 1374796800 in words is "one billion, three hundred seventy-four million, seven hundred ninety-six thousand, eight hundred".