766343340 has 432 divisors, whose sum is σ = 3025058400. Its totient is φ = 155602944.

The previous prime is 766343329. The next prime is 766343441. The reversal of 766343340 is 43343667.

It is a super-2 number, since 2×766343340² = 1174564229524711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 766343295 and 766343304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2848726 + ... + 2848994.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^766343340 is an apocalyptic number.

766343340 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 766343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512529200).

766343340 is an abundant number, since it is smaller than the sum of its proper divisors (2258715060).

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

766343340 is a wasteful number, since it uses less digits than its factorization.

766343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 766343340 is about 27682.9070005301. The cubic root of 766343340 is about 915.1124469885.

The spelling of 766343340 in words is "seven hundred sixty-six million, three hundred forty-three thousand, three hundred forty".