769900752 has 120 divisors (see below), whose sum is σ = 2203281600. Its totient is φ = 250905600.

The previous prime is 769900751. The next prime is 769900757. The reversal of 769900752 is 257009967.

It is a junction number, because it is equal to n+sod(n) for n = 769900698 and 769900707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769900751) 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, 1919752 + ... + 1920152.

It is an arithmetic number, because the mean of its divisors is an integer number (18360680).

Almost surely, 2^769900752 is an apocalyptic number.

769900752 is a gapful number since it is divisible by the number (72) 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 769900752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101640800).

769900752 is an abundant number, since it is smaller than the sum of its proper divisors (1433380848).

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

769900752 is a wasteful number, since it uses less digits than its factorization.

769900752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 769900752 is about 27747.0854685677. The cubic root of 769900752 is about 916.5262639543.

The spelling of 769900752 in words is "seven hundred sixty-nine million, nine hundred thousand, seven hundred fifty-two".