766582802440 has 512 divisors, whose sum is σ = 2234489886720. Its totient is φ = 230255198208.

The previous prime is 766582802429. The next prime is 766582802473. The reversal of 766582802440 is 44208285667.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 1012658542 + ... + 1012659298.

It is an arithmetic number, because the mean of its divisors is an integer number (4364238060).

Almost surely, 2^766582802440 is an apocalyptic number.

766582802440 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 766582802440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117244943360).

766582802440 is an abundant number, since it is smaller than the sum of its proper divisors (1467907084280).

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

766582802440 is a wasteful number, since it uses less digits than its factorization.

766582802440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 766582802440 in words is "seven hundred sixty-six billion, five hundred eighty-two million, eight hundred two thousand, four hundred forty".