749332800 has 252 divisors, whose sum is σ = 2820891996. Its totient is φ = 188006400.

The previous prime is 749332799. The next prime is 749332807. The reversal of 749332800 is 8233947.

It can be written as a sum of positive squares in 6 ways, for example, as 61214976 + 688117824 = 7824^2 + 26232^2 .

It is a super-2 number, since 2×749332800² = 1122999290311680000, which contains 22 as substring.

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 (749332807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243270 + ... + 246330.

Almost surely, 2^749332800 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 749332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410445998).

749332800 is an abundant number, since it is smaller than the sum of its proper divisors (2071559196).

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

749332800 is a wasteful number, since it uses less digits than its factorization.

749332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 749332800 is about 27373.9438152415. The cubic root of 749332800 is about 908.2907980718.

The spelling of 749332800 in words is "seven hundred forty-nine million, three hundred thirty-two thousand, eight hundred".