769041216 has 140 divisors (see below), whose sum is σ = 2302283940. Its totient is φ = 253808640.

The previous prime is 769041199. The next prime is 769041233. The reversal of 769041216 is 612140967.

It is an interprime number because it is at equal distance from previous prime (769041199) and next prime (769041233).

It can be written as a sum of positive squares in 2 ways, for example, as 324000000 + 445041216 = 18000^2 + 21096^2 .

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, 564376 + ... + 565736.

Almost surely, 2^769041216 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 769041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151141970).

769041216 is an abundant number, since it is smaller than the sum of its proper divisors (1533242724).

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

769041216 is a wasteful number, since it uses less digits than its factorization.

769041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 769041216 is about 27731.5923812536. The cubic root of 769041216 is about 916.1850595125.

The spelling of 769041216 in words is "seven hundred sixty-nine million, forty-one thousand, two hundred sixteen".