1008742800 has 120 divisors (see below), whose sum is σ = 3479957824. Its totient is φ = 248302080.

The previous prime is 1008742793. The next prime is 1008742807. The reversal of 1008742800 is 82478001.

It is an interprime number because it is at equal distance from previous prime (1008742793) and next prime (1008742807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1008742807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16732 + ... + 47931.

Almost surely, 2^1008742800 is an apocalyptic number.

1008742800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008742800 is an abundant number, since it is smaller than the sum of its proper divisors (2471215024).

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

1008742800 is a wasteful number, since it uses less digits than its factorization.

1008742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64697 (or 64686 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1008742800 is about 31760.7115789303. The cubic root of 1008742800 is about 1002.9058147288.

The spelling of 1008742800 in words is "one billion, eight million, seven hundred forty-two thousand, eight hundred".