766792440 has 256 divisors, whose sum is σ = 2714112000. Its totient is φ = 192222720.

The previous prime is 766792417. The next prime is 766792447. The reversal of 766792440 is 44297667.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766792447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238451 + ... + 1239069.

It is an arithmetic number, because the mean of its divisors is an integer number (10602000).

Almost surely, 2^766792440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766792440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056000).

766792440 is an abundant number, since it is smaller than the sum of its proper divisors (1947319560).

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

766792440 is a wasteful number, since it uses less digits than its factorization.

766792440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 766792440 is about 27691.0173160901. The cubic root of 766792440 is about 915.2911731212.

The spelling of 766792440 in words is "seven hundred sixty-six million, seven hundred ninety-two thousand, four hundred forty".