1387150800 has 360 divisors, whose sum is σ = 5342729472. Its totient is φ = 306432000.

The previous prime is 1387150777. The next prime is 1387150801. The reversal of 1387150800 is 80517831.

1387150800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387150801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822420 + ... + 1823180.

Almost surely, 2^1387150800 is an apocalyptic number.

1387150800 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 1387150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671364736).

1387150800 is an abundant number, since it is smaller than the sum of its proper divisors (3955578672).

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

1387150800 is a wasteful number, since it uses less digits than its factorization.

1387150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1387150800 is about 37244.4734155284. The cubic root of 1387150800 is about 1115.2559756030.

The spelling of 1387150800 in words is "one billion, three hundred eighty-seven million, one hundred fifty thousand, eight hundred".