1007399680 has 144 divisors (see below), whose sum is σ = 2853587520. Its totient is φ = 333398016.

The previous prime is 1007399677. The next prime is 1007399693. The reversal of 1007399680 is 869937001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257902 + ... + 261778.

It is an arithmetic number, because the mean of its divisors is an integer number (19816580).

Almost surely, 2^1007399680 is an apocalyptic number.

1007399680 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 1007399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426793760).

1007399680 is an abundant number, since it is smaller than the sum of its proper divisors (1846187840).

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

1007399680 is an equidigital number, since it uses as much as digits as its factorization.

1007399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 1007399680 is about 31739.5601733861. The cubic root of 1007399680 is about 1002.4605009696.

The spelling of 1007399680 in words is "one billion, seven million, three hundred ninety-nine thousand, six hundred eighty".