761152920 has 384 divisors, whose sum is σ = 2757888000. Its totient is φ = 167270400.

The previous prime is 761152919. The next prime is 761152927. The reversal of 761152920 is 29251167.

761152920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 27589²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761152927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8552236 + ... + 8552324.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^761152920 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 761152920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944000).

761152920 is an abundant number, since it is smaller than the sum of its proper divisors (1996735080).

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

761152920 is a wasteful number, since it uses less digits than its factorization.

761152920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 761152920 is about 27588.9999818768. Note that the first 4 decimals coincide. The cubic root of 761152920 is about 913.0417554813.

The spelling of 761152920 in words is "seven hundred sixty-one million, one hundred fifty-two thousand, nine hundred twenty".