1006799700 has 144 divisors (see below), whose sum is σ = 3079802880. Its totient is φ = 253418880.

The previous prime is 1006799681. The next prime is 1006799749. The reversal of 1006799700 is 79976001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544177 + ... + 546023.

It is an arithmetic number, because the mean of its divisors is an integer number (21387520).

Almost surely, 2^1006799700 is an apocalyptic number.

1006799700 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 1006799700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539901440).

1006799700 is an abundant number, since it is smaller than the sum of its proper divisors (2073003180).

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

1006799700 is a wasteful number, since it uses less digits than its factorization.

1006799700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1006799700 is about 31730.1071539319. The cubic root of 1006799700 is about 1002.2614486615.

The spelling of 1006799700 in words is "one billion, six million, seven hundred ninety-nine thousand, seven hundred".