77950585440 has 768 divisors, whose sum is σ = 339975014400. Its totient is φ = 16241762304.

The previous prime is 77950585397. The next prime is 77950585441. The reversal of 77950585440 is 4458505977.

77950585440 is a `hidden beast` number, since 7 + 7 + 9 + 50 + 585 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×77950585440³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77950585441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32627766 + ... + 32630154.

It is an arithmetic number, because the mean of its divisors is an integer number (442675800).

Almost surely, 2^77950585440 is an apocalyptic number.

77950585440 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 77950585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169987507200).

77950585440 is an abundant number, since it is smaller than the sum of its proper divisors (262024428960).

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

77950585440 is a wasteful number, since it uses less digits than its factorization.

77950585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 77950585440 in words is "seventy-seven billion, nine hundred fifty million, five hundred eighty-five thousand, four hundred forty".