769542144 has 192 divisors, whose sum is σ = 2429481600. Its totient is φ = 211943424.

The previous prime is 769542121. The next prime is 769542157. The reversal of 769542144 is 441245967.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×769542144² = 1184390222784233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 769542096 and 769542105.

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, 1246924 + ... + 1247540.

It is an arithmetic number, because the mean of its divisors is an integer number (12653550).

Almost surely, 2^769542144 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 769542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214740800).

769542144 is an abundant number, since it is smaller than the sum of its proper divisors (1659939456).

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

769542144 is a wasteful number, since it uses less digits than its factorization.

769542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 769542144 is about 27740.6226318012. The cubic root of 769542144 is about 916.3839405474.

The spelling of 769542144 in words is "seven hundred sixty-nine million, five hundred forty-two thousand, one hundred forty-four".