766060120 has 192 divisors, whose sum is σ = 2156323680. Its totient is φ = 243339264.

The previous prime is 766060117. The next prime is 766060121. The reversal of 766060120 is 21060667.

766060120 = T₄₂₇ + T₄₂₈ + ... + T₁₆₇₁.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766060121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2765422 + ... + 2765698.

Almost surely, 2^766060120 is an apocalyptic number.

766060120 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 766060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078161840).

766060120 is an abundant number, since it is smaller than the sum of its proper divisors (1390263560).

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

766060120 is a wasteful number, since it uses less digits than its factorization.

766060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 766060120 is about 27677.7910968343. The cubic root of 766060120 is about 914.9996994037. Note that the first 3 decimals are identical.

The spelling of 766060120 in words is "seven hundred sixty-six million, sixty thousand, one hundred twenty".