769406400 has 504 divisors, whose sum is σ = 3316528800. Its totient is φ = 165150720.

The previous prime is 769406389. The next prime is 769406401. The reversal of 769406400 is 4604967.

769406400 is a `hidden beast` number, since 7 + 6 + 9 + 4 + 0 + 640 + 0 = 666.

769406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769406401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713376 + ... + 1713824.

Almost surely, 2^769406400 is an apocalyptic number.

769406400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658264400).

769406400 is an abundant number, since it is smaller than the sum of its proper divisors (2547122400).

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

769406400 is a wasteful number, since it uses less digits than its factorization.

769406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 769406400 is about 27738.1758592738. The cubic root of 769406400 is about 916.3300552870.

The spelling of 769406400 in words is "seven hundred sixty-nine million, four hundred six thousand, four hundred".