1007899200 has 840 divisors, whose sum is σ = 4664683584. Its totient is φ = 207360000.

The previous prime is 1007899199. The next prime is 1007899201. The reversal of 1007899200 is 29987001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1007899199) and next prime (1007899201).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1007899201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9979150 + ... + 9979250.

Almost surely, 2^1007899200 is an apocalyptic number.

1007899200 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 1007899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332341792).

1007899200 is an abundant number, since it is smaller than the sum of its proper divisors (3656784384).

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

1007899200 is a wasteful number, since it uses less digits than its factorization.

1007899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1007899200 is about 31747.4282423002. The cubic root of 1007899200 is about 1002.6261638926.

It can be divided in two parts, 10078 and 99200, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1007899200 in words is "one billion, seven million, eight hundred ninety-nine thousand, two hundred".