761296896 has 144 divisors (see below), whose sum is σ = 2225648880. Its totient is φ = 250675200.

The previous prime is 761296891. The next prime is 761296903. The reversal of 761296896 is 698692167.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761296891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1898296 + ... + 1898696.

It is an arithmetic number, because the mean of its divisors is an integer number (15455895).

Almost surely, 2^761296896 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 761296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112824440).

761296896 is an abundant number, since it is smaller than the sum of its proper divisors (1464351984).

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

761296896 is a wasteful number, since it uses less digits than its factorization.

761296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 761296896 is about 27591.6091593078. The cubic root of 761296896 is about 913.0993207041.

The spelling of 761296896 in words is "seven hundred sixty-one million, two hundred ninety-six thousand, eight hundred ninety-six".