769720320 has 340 divisors, whose sum is σ = 2854726380. Its totient is φ = 198180864.

The previous prime is 769720307. The next prime is 769720331. The reversal of 769720320 is 23027967.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 429981696 = 18432^2 + 20736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542066 + ... + 26542094.

Almost surely, 2^769720320 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 769720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427363190).

769720320 is an abundant number, since it is smaller than the sum of its proper divisors (2085006060).

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

769720320 is an frugal number, since it uses more digits than its factorization.

769720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 769720320 is about 27743.8339095374. The cubic root of 769720320 is about 916.4546600986.

The spelling of 769720320 in words is "seven hundred sixty-nine million, seven hundred twenty thousand, three hundred twenty".