1379760400 has 60 divisors (see below), whose sum is σ = 3421836544. Its totient is φ = 534096000.

The previous prime is 1379760383. The next prime is 1379760407. The reversal of 1379760400 is 40679731.

It is a super-2 number, since 2×1379760400² = 3807477522816320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1379760400.

It is not an unprimeable number, because it can be changed into a prime (1379760407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43236 + ... + 68035.

Almost surely, 2^1379760400 is an apocalyptic number.

1379760400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379760400 is an abundant number, since it is smaller than the sum of its proper divisors (2042076144).

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

1379760400 is a wasteful number, since it uses less digits than its factorization.

1379760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111320 (or 111309 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 1379760400 is about 37145.1261944283. The cubic root of 1379760400 is about 1113.2718441265.

The spelling of 1379760400 in words is "one billion, three hundred seventy-nine million, seven hundred sixty thousand, four hundred".