747837216 has 216 divisors, whose sum is σ = 2495673180. Its totient is φ = 211792896.

The previous prime is 747837197. The next prime is 747837217. The reversal of 747837216 is 612738747.

It can be written as a sum of positive squares in 2 ways, for example, as 745290000 + 2547216 = 27300^2 + 1596^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (747837217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2779930 + ... + 2780198.

Almost surely, 2^747837216 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 747837216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247836590).

747837216 is an abundant number, since it is smaller than the sum of its proper divisors (1747835964).

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

747837216 is a wasteful number, since it uses less digits than its factorization.

747837216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 747837216 is about 27346.6125141671. The cubic root of 747837216 is about 907.6861135031.

The spelling of 747837216 in words is "seven hundred forty-seven million, eight hundred thirty-seven thousand, two hundred sixteen".