760032072000 has 980 divisors, whose sum is σ = 2978816875476. Its totient is φ = 192008102400.

The previous prime is 760032071989. The next prime is 760032072017. The reversal of 760032072000 is 270230067.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

760032072000 is a `hidden beast` number, since 7 + 600 + 32 + 0 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24321026304 + 735711045696 = 155952^2 + 857736^2 .

It is a super-2 number, since 2×760032072000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 760032072000 = 1140³ + 9120³ = 5130³ + 8550³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 40001687991 + ... + 40001688009.

Almost surely, 2^760032072000 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 760032072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489408437738).

760032072000 is an abundant number, since it is smaller than the sum of its proper divisors (2218784803476).

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

760032072000 is an frugal number, since it uses more digits than its factorization.

760032072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 760032072000 in words is "seven hundred sixty billion, thirty-two million, seventy-two thousand".