77950439424 has 1040 divisors, whose sum is σ = 287723487744. Its totient is φ = 20702822400.

The previous prime is 77950439401. The next prime is 77950439521. The reversal of 77950439424 is 42493405977.

It is a super-3 number, since 3×77950439424³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1470762982 + ... + 1470763034.

Almost surely, 2^77950439424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77950439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143861743872).

77950439424 is an abundant number, since it is smaller than the sum of its proper divisors (209773048320).

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

77950439424 is a wasteful number, since it uses less digits than its factorization.

77950439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77950439424 in words is "seventy-seven billion, nine hundred fifty million, four hundred thirty-nine thousand, four hundred twenty-four".