747496800 has 432 divisors, whose sum is σ = 2895564672. Its totient is φ = 180633600.

The previous prime is 747496747. The next prime is 747496807. The reversal of 747496800 is 8694747.

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 (747496807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3794302 + ... + 3794498.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^747496800 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 747496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

747496800 is an abundant number, since it is smaller than the sum of its proper divisors (2148067872).

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

747496800 is a wasteful number, since it uses less digits than its factorization.

747496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 747496800 is about 27340.3877075655. The cubic root of 747496800 is about 907.5483661584.

The spelling of 747496800 in words is "seven hundred forty-seven million, four hundred ninety-six thousand, eight hundred".