769969440 has 288 divisors, whose sum is σ = 2827633536. Its totient is φ = 190095360.

The previous prime is 769969429. The next prime is 769969441. The reversal of 769969440 is 44969967.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (769969441) 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, 1737859 + ... + 1738301.

It is an arithmetic number, because the mean of its divisors is an integer number (9818172).

Almost surely, 2^769969440 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 769969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413816768).

769969440 is an abundant number, since it is smaller than the sum of its proper divisors (2057664096).

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

769969440 is a wasteful number, since it uses less digits than its factorization.

769969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 769969440 is about 27748.3231925823. The cubic root of 769969440 is about 916.5535196249.

It can be divided in two parts, 76996 and 9440, that added together give a square (86436 = 294²).

The spelling of 769969440 in words is "seven hundred sixty-nine million, nine hundred sixty-nine thousand, four hundred forty".