749800800 has 864 divisors, whose sum is σ = 3412281600. Its totient is φ = 156764160.

The previous prime is 749800769. The next prime is 749800801. The reversal of 749800800 is 8008947.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749800801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25855186 + ... + 25855214.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^749800800 is an apocalyptic number.

749800800 is a gapful number since it is divisible by the number (70) 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 749800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

749800800 is an abundant number, since it is smaller than the sum of its proper divisors (2662480800).

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

749800800 is a wasteful number, since it uses less digits than its factorization.

749800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 749800800 is about 27382.4907559557. The cubic root of 749800800 is about 908.4798514220.

The spelling of 749800800 in words is "seven hundred forty-nine million, eight hundred thousand, eight hundred".