749776500 has 504 divisors, whose sum is σ = 2857373064. Its totient is φ = 171072000.

The previous prime is 749776481. The next prime is 749776501. The reversal of 749776500 is 5677947.

749776500 is a `hidden beast` number, since 74 + 9 + 7 + 76 + 500 = 666.

749776500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 746600976 = 1782^2 + 27324^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749776501) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44104492 + ... + 44104508.

It is an arithmetic number, because the mean of its divisors is an integer number (5669391).

Almost surely, 2^749776500 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 749776500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428686532).

749776500 is an abundant number, since it is smaller than the sum of its proper divisors (2107596564).

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

749776500 is a wasteful number, since it uses less digits than its factorization.

749776500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 749776500 is about 27382.0470381599. The cubic root of 749776500 is about 908.4700371269.

The spelling of 749776500 in words is "seven hundred forty-nine million, seven hundred seventy-six thousand, five hundred".