768292560 has 640 divisors, whose sum is σ = 3321216000. Its totient is φ = 162570240.

The previous prime is 768292559. The next prime is 768292573. The reversal of 768292560 is 65292867.

768292560 is a `hidden beast` number, since 7 + 6 + 82 + 9 + 2 + 560 = 666.

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 127 ways as a sum of consecutive naturals, for example, 12594930 + ... + 12594990.

It is an arithmetic number, because the mean of its divisors is an integer number (5189400).

Almost surely, 2^768292560 is an apocalyptic number.

768292560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608000).

768292560 is an abundant number, since it is smaller than the sum of its proper divisors (2552923440).

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

768292560 is a wasteful number, since it uses less digits than its factorization.

768292560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 768292560 is about 27718.0908433463. The cubic root of 768292560 is about 915.8876631686.

The spelling of 768292560 in words is "seven hundred sixty-eight million, two hundred ninety-two thousand, five hundred sixty".