766256077440 has 1024 divisors, whose sum is σ = 3261969792000. Its totient is φ = 166286131200.

The previous prime is 766256077417. The next prime is 766256077463. The reversal of 766256077440 is 44770652667.

766256077440 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 560 + 7 + 74 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (766256077417) and next prime (766256077463).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 213976450 + ... + 213980030.

It is an arithmetic number, because the mean of its divisors is an integer number (3185517375).

Almost surely, 2^766256077440 is an apocalyptic number.

766256077440 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 766256077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630984896000).

766256077440 is an abundant number, since it is smaller than the sum of its proper divisors (2495713714560).

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

766256077440 is a wasteful number, since it uses less digits than its factorization.

766256077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 766256077440 in words is "seven hundred sixty-six billion, two hundred fifty-six million, seventy-seven thousand, four hundred forty".