1396756800 has 126 divisors (see below), whose sum is σ = 4964454638. Its totient is φ = 372464640.

The previous prime is 1396756793. The next prime is 1396756813. The reversal of 1396756800 is 86576931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 1396367424 = 624^2 + 37368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34099 + ... + 62898.

Almost surely, 2^1396756800 is an apocalyptic number.

1396756800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1396756800 is an abundant number, since it is smaller than the sum of its proper divisors (3567697838).

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

1396756800 is a wasteful number, since it uses less digits than its factorization.

1396756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97025 (or 97007 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1396756800 is about 37373.2096561160. The cubic root of 1396756800 is about 1117.8244332249.

The spelling of 1396756800 in words is "one billion, three hundred ninety-six million, seven hundred fifty-six thousand, eight hundred".