771290240 has 128 divisors (see below), whose sum is σ = 2128291200. Its totient is φ = 261808128.

The previous prime is 771290231. The next prime is 771290243. The reversal of 771290240 is 42092177.

771290240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 771290197 and 771290206.

It is not an unprimeable number, because it can be changed into a prime (771290243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478556 + ... + 480164.

It is an arithmetic number, because the mean of its divisors is an integer number (16627275).

Almost surely, 2^771290240 is an apocalyptic number.

771290240 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 771290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064145600).

771290240 is an abundant number, since it is smaller than the sum of its proper divisors (1357000960).

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

771290240 is a wasteful number, since it uses less digits than its factorization.

771290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 771290240 is about 27772.1126311989. The cubic root of 771290240 is about 917.0773033302.

The spelling of 771290240 in words is "seven hundred seventy-one million, two hundred ninety thousand, two hundred forty".