761064880 has 80 divisors (see below), whose sum is σ = 1833525504. Its totient is φ = 293483520.

The previous prime is 761064809. The next prime is 761064883. The reversal of 761064880 is 88460167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (761064883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984174 + ... + 984946.

Almost surely, 2^761064880 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 761064880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916762752).

761064880 is an abundant number, since it is smaller than the sum of its proper divisors (1072460624).

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

761064880 is a wasteful number, since it uses less digits than its factorization.

761064880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 761064880 is about 27587.4043722856. The cubic root of 761064880 is about 913.0065513003.

The spelling of 761064880 in words is "seven hundred sixty-one million, sixty-four thousand, eight hundred eighty".