749538720 has 576 divisors, whose sum is σ = 3158797824. Its totient is φ = 158146560.

The previous prime is 749538709. The next prime is 749538731. The reversal of 749538720 is 27835947.

749538720 is a `hidden beast` number, since 7 + 49 + 538 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (749538709) and next prime (749538731).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12287490 + ... + 12287550.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^749538720 is an apocalyptic number.

749538720 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 749538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

749538720 is an abundant number, since it is smaller than the sum of its proper divisors (2409259104).

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

749538720 is a wasteful number, since it uses less digits than its factorization.

749538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 749538720 is about 27377.7047978825. The cubic root of 749538720 is about 908.3739912409.

The spelling of 749538720 in words is "seven hundred forty-nine million, five hundred thirty-eight thousand, seven hundred twenty".