749649600 has 672 divisors, whose sum is σ = 3255426560. Its totient is φ = 164229120.

The previous prime is 749649599. The next prime is 749649613. The reversal of 749649600 is 6946947.

749649600 is a `hidden beast` number, since 74 + 96 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11188767 + ... + 11188833.

Almost surely, 2^749649600 is an apocalyptic number.

749649600 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 749649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627713280).

749649600 is an abundant number, since it is smaller than the sum of its proper divisors (2505776960).

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

749649600 is a wasteful number, since it uses less digits than its factorization.

749649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 749649600 is about 27379.7297283958. The cubic root of 749649600 is about 908.4187812517.

The spelling of 749649600 in words is "seven hundred forty-nine million, six hundred forty-nine thousand, six hundred".