749795840 has 80 divisors (see below), whose sum is σ = 1809212328. Its totient is φ = 298008576.

The previous prime is 749795807. The next prime is 749795843. The reversal of 749795840 is 48597947.

749795840 = T₁₁₅ + T₁₁₆ + ... + T₁₆₅₀.

It can be written as a sum of positive squares in 4 ways, for example, as 691058944 + 58736896 = 26288^2 + 7664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (749795843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442034 + ... + 443726.

Almost surely, 2^749795840 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 749795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904606164).

749795840 is an abundant number, since it is smaller than the sum of its proper divisors (1059416488).

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

749795840 is a wasteful number, since it uses less digits than its factorization.

749795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The square root of 749795840 is about 27382.4001869814. The cubic root of 749795840 is about 908.4778481922.

The spelling of 749795840 in words is "seven hundred forty-nine million, seven hundred ninety-five thousand, eight hundred forty".