769628160 has 288 divisors, whose sum is σ = 3051004320. Its totient is φ = 175767552.

The previous prime is 769628141. The next prime is 769628161. The reversal of 769628160 is 61826967.

769628160 is a `hidden beast` number, since 7 + 6 + 9 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769628161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644524 + ... + 645716.

It is an arithmetic number, because the mean of its divisors is an integer number (10593765).

Almost surely, 2^769628160 is an apocalyptic number.

769628160 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 769628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525502160).

769628160 is an abundant number, since it is smaller than the sum of its proper divisors (2281376160).

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

769628160 is a wasteful number, since it uses less digits than its factorization.

769628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 769628160 is about 27742.1729502215. The cubic root of 769628160 is about 916.4180823831.

The spelling of 769628160 in words is "seven hundred sixty-nine million, six hundred twenty-eight thousand, one hundred sixty".