771830078040 has 384 divisors, whose sum is σ = 2995763097600. Its totient is φ = 168504145920.

The previous prime is 771830078027. The next prime is 771830078069. The reversal of 771830078040 is 40870038177.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41663980 + ... + 41682500.

It is an arithmetic number, because the mean of its divisors is an integer number (7801466400).

Almost surely, 2^771830078040 is an apocalyptic number.

771830078040 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 771830078040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497881548800).

771830078040 is an abundant number, since it is smaller than the sum of its proper divisors (2223933019560).

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

771830078040 is a wasteful number, since it uses less digits than its factorization.

771830078040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19287 (or 19280 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 771830078040 in words is "seven hundred seventy-one billion, eight hundred thirty million, seventy-eight thousand, forty".