764550048 has 96 divisors (see below), whose sum is σ = 2042966016. Its totient is φ = 250322688.

The previous prime is 764550047. The next prime is 764550091. The reversal of 764550048 is 840055467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×764550048³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 764549988 and 764550015.

It is not an unprimeable number, because it can be changed into a prime (764550041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651065 + ... + 1651527.

It is an arithmetic number, because the mean of its divisors is an integer number (21280896).

Almost surely, 2^764550048 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 764550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021483008).

764550048 is an abundant number, since it is smaller than the sum of its proper divisors (1278415968).

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

764550048 is a wasteful number, since it uses less digits than its factorization.

764550048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 764550048 is about 27650.4981510279. The cubic root of 764550048 is about 914.3980824316.

The spelling of 764550048 in words is "seven hundred sixty-four million, five hundred fifty thousand, forty-eight".