769860720 has 160 divisors (see below), whose sum is σ = 2677328640. Its totient is φ = 203316480.

The previous prime is 769860697. The next prime is 769860743. The reversal of 769860720 is 27068967.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (769860697) and next prime (769860743).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229455 + ... + 232785.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 2^769860720 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 769860720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338664320).

769860720 is an abundant number, since it is smaller than the sum of its proper divisors (1907467920).

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

769860720 is a wasteful number, since it uses less digits than its factorization.

769860720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 769860720 is about 27746.3640861285. The cubic root of 769860720 is about 916.5103783503.

The spelling of 769860720 in words is "seven hundred sixty-nine million, eight hundred sixty thousand, seven hundred twenty".