77731295040 has 504 divisors, whose sum is σ = 329319541512. Its totient is φ = 16721510400.

The previous prime is 77731294981. The next prime is 77731295069. The reversal of 77731295040 is 4059213777.

77731295040 is a `hidden beast` number, since 77 + 73 + 1 + 2 + 9 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44382691584 + 33348603456 = 210672^2 + 182616^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2382840 + ... + 2415240.

Almost surely, 2^77731295040 is an apocalyptic number.

77731295040 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 77731295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164659770756).

77731295040 is an abundant number, since it is smaller than the sum of its proper divisors (251588246472).

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

77731295040 is a wasteful number, since it uses less digits than its factorization.

77731295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32455 (or 32435 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 77731295040 in words is "seventy-seven billion, seven hundred thirty-one million, two hundred ninety-five thousand, forty".