760148400960 has 1344 divisors, whose sum is σ = 3053834993664. Its totient is φ = 178711142400.

The previous prime is 760148400953. The next prime is 760148401007. The reversal of 760148400960 is 69004841067.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3979834465 + ... + 3979834655.

It is an arithmetic number, because the mean of its divisors is an integer number (2272198656).

Almost surely, 2^760148400960 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 760148400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526917496832).

760148400960 is an abundant number, since it is smaller than the sum of its proper divisors (2293686592704).

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

760148400960 is a wasteful number, since it uses less digits than its factorization.

760148400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 760148400960 in words is "seven hundred sixty billion, one hundred forty-eight million, four hundred thousand, nine hundred sixty".