746766848 has 40 divisors (see below), whose sum is σ = 1505876460. Its totient is φ = 369930240.

The previous prime is 746766847. The next prime is 746766863. The reversal of 746766848 is 848667647.

It can be written as a sum of positive squares in 2 ways, for example, as 737231104 + 9535744 = 27152^2 + 3088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 746766793 and 746766802.

It is not an unprimeable number, because it can be changed into a prime (746766841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49118 + ... + 62498.

Almost surely, 2^746766848 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 746766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752938230).

746766848 is an abundant number, since it is smaller than the sum of its proper divisors (759109612).

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

746766848 is a wasteful number, since it uses less digits than its factorization.

746766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13508 (or 13492 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 56.

The square root of 746766848 is about 27327.0351117716. The cubic root of 746766848 is about 907.2528543019.

The spelling of 746766848 in words is "seven hundred forty-six million, seven hundred sixty-six thousand, eight hundred forty-eight".