769540746720 has 288 divisors, whose sum is σ = 2517231372768. Its totient is φ = 197589860352.

The previous prime is 769540746713. The next prime is 769540746727. The reversal of 769540746720 is 27647045967.

It is an interprime number because it is at equal distance from previous prime (769540746713) and next prime (769540746727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769540746727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63734604 + ... + 63746676.

It is an arithmetic number, because the mean of its divisors is an integer number (8740386711).

Almost surely, 2^769540746720 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 769540746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258615686384).

769540746720 is an abundant number, since it is smaller than the sum of its proper divisors (1747690626048).

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

769540746720 is a wasteful number, since it uses less digits than its factorization.

769540746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 769540746720 in words is "seven hundred sixty-nine billion, five hundred forty million, seven hundred forty-six thousand, seven hundred twenty".