769334880 has 96 divisors (see below), whose sum is σ = 2430467424. Its totient is φ = 204558336.

The previous prime is 769334879. The next prime is 769334911. The reversal of 769334880 is 88433967.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×769334880² = 1183752315169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176892 + ... + 181188.

It is an arithmetic number, because the mean of its divisors is an integer number (25317369).

Almost surely, 2^769334880 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 769334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215233712).

769334880 is an abundant number, since it is smaller than the sum of its proper divisors (1661132544).

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

769334880 is a wasteful number, since it uses less digits than its factorization.

769334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 769334880 is about 27736.8866313435. The cubic root of 769334880 is about 916.3016619887.

The spelling of 769334880 in words is "seven hundred sixty-nine million, three hundred thirty-four thousand, eight hundred eighty".