769638240 has 384 divisors, whose sum is σ = 3181731840. Its totient is φ = 170035200.

The previous prime is 769638239. The next prime is 769638253. The reversal of 769638240 is 42836967.

769638240 is a `hidden beast` number, since 7 + 6 + 9 + 638 + 2 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 937030 + ... + 937850.

It is an arithmetic number, because the mean of its divisors is an integer number (8285760).

Almost surely, 2^769638240 is an apocalyptic number.

769638240 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 769638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590865920).

769638240 is an abundant number, since it is smaller than the sum of its proper divisors (2412093600).

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

769638240 is a wasteful number, since it uses less digits than its factorization.

769638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 769638240 is about 27742.3546224901. The cubic root of 769638240 is about 916.4220832129.

The spelling of 769638240 in words is "seven hundred sixty-nine million, six hundred thirty-eight thousand, two hundred forty".