1007800380 has 120 divisors (see below), whose sum is σ = 3171493248. Its totient is φ = 267898752.

The previous prime is 1007800379. The next prime is 1007800403. The reversal of 1007800380 is 830087001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 642357 + ... + 643923.

Almost surely, 2^1007800380 is an apocalyptic number.

1007800380 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 1007800380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585746624).

1007800380 is an abundant number, since it is smaller than the sum of its proper divisors (2163692868).

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

1007800380 is a wasteful number, since it uses less digits than its factorization.

1007800380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1007800380 is about 31745.8718576132. The cubic root of 1007800380 is about 1002.5933951541.

Adding to 1007800380 its reverse (830087001), we get a palindrome (1837887381).

The spelling of 1007800380 in words is "one billion, seven million, eight hundred thousand, three hundred eighty".