769687920 has 360 divisors, whose sum is σ = 2868347664. Its totient is φ = 191766528.

The previous prime is 769687909. The next prime is 769687951. The reversal of 769687920 is 29786967.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5618092 + ... + 5618228.

Almost surely, 2^769687920 is an apocalyptic number.

769687920 is the 13872-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434173832).

769687920 is an abundant number, since it is smaller than the sum of its proper divisors (2098659744).

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

769687920 is a wasteful number, since it uses less digits than its factorization.

769687920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 769687920 is about 27743.2499898624. The cubic root of 769687920 is about 916.4418010783.

The spelling of 769687920 in words is "seven hundred sixty-nine million, six hundred eighty-seven thousand, nine hundred twenty".