760053120 has 128 divisors (see below), whose sum is σ = 2430570240. Its totient is φ = 202020864.

The previous prime is 760053113. The next prime is 760053131. The reversal of 760053120 is 21350067.

760053120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965367 + ... + 966153.

It is an arithmetic number, because the mean of its divisors is an integer number (18988830).

Almost surely, 2^760053120 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 760053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215285120).

760053120 is an abundant number, since it is smaller than the sum of its proper divisors (1670517120).

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

760053120 is a wasteful number, since it uses less digits than its factorization.

760053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 760053120 is about 27569.0609198065. The cubic root of 760053120 is about 912.6017881073.

The spelling of 760053120 in words is "seven hundred sixty million, fifty-three thousand, one hundred twenty".