761473248 has 96 divisors (see below), whose sum is σ = 2151424800. Its totient is φ = 234946560.

The previous prime is 761473199. The next prime is 761473289. The reversal of 761473248 is 842374167.

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

It is a congruent number.

It is an unprimeable number.

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, 95728 + ... + 103376.

It is an arithmetic number, because the mean of its divisors is an integer number (22410675).

Almost surely, 2^761473248 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 761473248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075712400).

761473248 is an abundant number, since it is smaller than the sum of its proper divisors (1389951552).

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

761473248 is a wasteful number, since it uses less digits than its factorization.

761473248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7732 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 761473248 is about 27594.8047284267. The cubic root of 761473248 is about 913.1698207766.

The spelling of 761473248 in words is "seven hundred sixty-one million, four hundred seventy-three thousand, two hundred forty-eight".