769377840 has 640 divisors, whose sum is σ = 3291217920. Its totient is φ = 143769600.

The previous prime is 769377821. The next prime is 769377863. The reversal of 769377840 is 48773967.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9738921 + ... + 9738999.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^769377840 is an apocalyptic number.

769377840 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 769377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645608960).

769377840 is an abundant number, since it is smaller than the sum of its proper divisors (2521840080).

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

769377840 is a wasteful number, since it uses less digits than its factorization.

769377840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 769377840 is about 27737.6610405420. The cubic root of 769377840 is about 916.3187172346.

The spelling of 769377840 in words is "seven hundred sixty-nine million, three hundred seventy-seven thousand, eight hundred forty".