768466440 has 320 divisors, whose sum is σ = 3049896960. Its totient is φ = 169827840.

The previous prime is 768466421. The next prime is 768466469. The reversal of 768466440 is 44664867.

768466440 is a `hidden beast` number, since 76 + 84 + 66 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702534 + ... + 703626.

It is an arithmetic number, because the mean of its divisors is an integer number (9530928).

Almost surely, 2^768466440 is an apocalyptic number.

768466440 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 768466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524948480).

768466440 is an abundant number, since it is smaller than the sum of its proper divisors (2281430520).

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

768466440 is a wasteful number, since it uses less digits than its factorization.

768466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 768466440 is about 27721.2272455604. The cubic root of 768466440 is about 915.9567525332.

The spelling of 768466440 in words is "seven hundred sixty-eight million, four hundred sixty-six thousand, four hundred forty".