749271600 has 960 divisors, whose sum is σ = 3586913280. Its totient is φ = 143769600.

The previous prime is 749271569. The next prime is 749271619. The reversal of 749271600 is 6172947.

It is a happy number.

749271600 is a `hidden beast` number, since 7 + 49 + 2 + 7 + 1 + 600 = 666.

It is a super-2 number, since 2×749271600² = 1122815861133120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14137174 + ... + 14137226.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368).

Almost surely, 2^749271600 is an apocalyptic number.

749271600 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 749271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793456640).

749271600 is an abundant number, since it is smaller than the sum of its proper divisors (2837641680).

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

749271600 is a wasteful number, since it uses less digits than its factorization.

749271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 749271600 is about 27372.8259410679. The cubic root of 749271600 is about 908.2660698913.

The spelling of 749271600 in words is "seven hundred forty-nine million, two hundred seventy-one thousand, six hundred".