749116900 has 243 divisors, whose sum is σ = 2099897499. Its totient is φ = 231221760.

The previous prime is 749116897. The next prime is 749116903. The reversal of 749116900 is 9611947.

The square root of 749116900 is 27370.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (749116897) and next prime (749116903).

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 731594304 = 4186^2 + 27048^2 .

It is a super-2 number, since 2×749116900² = 1122352259731220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 749116900.

It is not an unprimeable number, because it can be changed into a prime (749116903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32570289 + ... + 32570311.

Almost surely, 2^749116900 is an apocalyptic number.

749116900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749116900 is the 27370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749116900

749116900 is an abundant number, since it is smaller than the sum of its proper divisors (1350780599).

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

749116900 is a wasteful number, since it uses less digits than its factorization.

749116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The cubic root of 749116900 is about 908.2035565417.

It can be divided in two parts, 749 and 116900, that added together give a 6-th power (117649 = 7⁶).

The spelling of 749116900 in words is "seven hundred forty-nine million, one hundred sixteen thousand, nine hundred".