749398800 has 120 divisors (see below), whose sum is σ = 2446075584. Its totient is φ = 196052480.

The previous prime is 749398787. The next prime is 749398807. The reversal of 749398800 is 8893947.

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

It is a super-2 number, since 2×749398800² = 1123197122882880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 749398800.

It is not an unprimeable number, because it can be changed into a prime (749398807) 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, 57709 + ... + 69491.

Almost surely, 2^749398800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223037792).

749398800 is an abundant number, since it is smaller than the sum of its proper divisors (1696676784).

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

749398800 is a wasteful number, since it uses less digits than its factorization.

749398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 749398800 is about 27375.1493146613. The cubic root of 749398800 is about 908.3174642085.

The spelling of 749398800 in words is "seven hundred forty-nine million, three hundred ninety-eight thousand, eight hundred".