766127040 has 224 divisors, whose sum is σ = 2800258560. Its totient is φ = 173838336.

The previous prime is 766127009. The next prime is 766127053. The reversal of 766127040 is 40721667.

It is a Cunningham number, because it is equal to 27679²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 766126992 and 766127010.

It is a congruent number.

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, 1162231 + ... + 1162889.

Almost surely, 2^766127040 is an apocalyptic number.

766127040 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 766127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400129280).

766127040 is an abundant number, since it is smaller than the sum of its proper divisors (2034131520).

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

766127040 is a wasteful number, since it uses less digits than its factorization.

766127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 766127040 is about 27678.9999819358. Note that the first 4 decimals coincide. The cubic root of 766127040 is about 915.0263422199.

The spelling of 766127040 in words is "seven hundred sixty-six million, one hundred twenty-seven thousand, forty".