769950048 has 96 divisors (see below), whose sum is σ = 2315416320. Its totient is φ = 219456000.

The previous prime is 769949989. The next prime is 769950061. The reversal of 769950048 is 840059967.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 769949979 and 769950006.

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, 340923 + ... + 343173.

It is an arithmetic number, because the mean of its divisors is an integer number (24118920).

Almost surely, 2^769950048 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 769950048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157708160).

769950048 is an abundant number, since it is smaller than the sum of its proper divisors (1545466272).

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

769950048 is a wasteful number, since it uses less digits than its factorization.

769950048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 769950048 is about 27747.9737638625. The cubic root of 769950048 is about 916.5458249667.

The spelling of 769950048 in words is "seven hundred sixty-nine million, nine hundred fifty thousand, forty-eight".