749660800 has 192 divisors, whose sum is σ = 2162808000. Its totient is φ = 256650240.

The previous prime is 749660797. The next prime is 749660833. The reversal of 749660800 is 8066947.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097259 + ... + 1097941.

It is an arithmetic number, because the mean of its divisors is an integer number (11264625).

Almost surely, 2^749660800 is an apocalyptic number.

749660800 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 749660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081404000).

749660800 is an abundant number, since it is smaller than the sum of its proper divisors (1413147200).

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

749660800 is an equidigital number, since it uses as much as digits as its factorization.

749660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 749660800 is about 27379.9342585040. The cubic root of 749660800 is about 908.4233052496.

The spelling of 749660800 in words is "seven hundred forty-nine million, six hundred sixty thousand, eight hundred".