769827240 has 480 divisors, whose sum is σ = 3250142280. Its totient is φ = 161989632.

The previous prime is 769827203. The next prime is 769827251. The reversal of 769827240 is 42728967.

It can be written as a sum of positive squares in 4 ways, for example, as 497379204 + 272448036 = 22302^2 + 16506^2 .

It is a super-3 number, since 3×769827240³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063694 + ... + 2064066.

Almost surely, 2^769827240 is an apocalyptic number.

769827240 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 769827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625071140).

769827240 is an abundant number, since it is smaller than the sum of its proper divisors (2480315040).

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

769827240 is a wasteful number, since it uses less digits than its factorization.

769827240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 769827240 is about 27745.7607572761. The cubic root of 769827240 is about 916.4970923054.

The spelling of 769827240 in words is "seven hundred sixty-nine million, eight hundred twenty-seven thousand, two hundred forty".