747121760 has 288 divisors, whose sum is σ = 2292494400. Its totient is φ = 225054720.

The previous prime is 747121733. The next prime is 747121769. The reversal of 747121760 is 67121747.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 747121760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747121769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5014166 + ... + 5014314.

It is an arithmetic number, because the mean of its divisors is an integer number (7960050).

Almost surely, 2^747121760 is an apocalyptic number.

747121760 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 747121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146247200).

747121760 is an abundant number, since it is smaller than the sum of its proper divisors (1545372640).

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

747121760 is a wasteful number, since it uses less digits than its factorization.

747121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 747121760 is about 27333.5281293872. The cubic root of 747121760 is about 907.3965599884.

The spelling of 747121760 in words is "seven hundred forty-seven million, one hundred twenty-one thousand, seven hundred sixty".