766620960 has 192 divisors, whose sum is σ = 2779951104. Its totient is φ = 173952000.

The previous prime is 766620947. The next prime is 766620971. The reversal of 766620960 is 69026667.

It is a super-2 number, since 2×766620960² = 1175415392622643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506605 + ... + 508115.

It is an arithmetic number, because the mean of its divisors is an integer number (14478912).

Almost surely, 2^766620960 is an apocalyptic number.

766620960 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 766620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

766620960 is an abundant number, since it is smaller than the sum of its proper divisors (2013330144).

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

766620960 is a wasteful number, since it uses less digits than its factorization.

766620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 766620960 is about 27687.9208320163. The cubic root of 766620960 is about 915.2229383015. Note that the first 3 decimals are identical.

The spelling of 766620960 in words is "seven hundred sixty-six million, six hundred twenty thousand, nine hundred sixty".