766080000 has 660 divisors, whose sum is σ = 3325310560. Its totient is φ = 165888000.

The previous prime is 766079983. The next prime is 766080011. The reversal of 766080000 is 80667.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40319991 + ... + 40320009.

Almost surely, 2^766080000 is an apocalyptic number.

766080000 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 766080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662655280).

766080000 is an abundant number, since it is smaller than the sum of its proper divisors (2559230560).

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

766080000 is a wasteful number, since it uses less digits than its factorization.

766080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 766080000 is about 27678.1502272099. The cubic root of 766080000 is about 915.0076143772.

The spelling of 766080000 in words is "seven hundred sixty-six million, eighty thousand".