77959203840 has 1056 divisors, whose sum is σ = 341748123840. Its totient is φ = 16746283008.

The previous prime is 77959203811. The next prime is 77959203851. The reversal of 77959203840 is 4830295977.

77959203840 is a `hidden beast` number, since 7 + 7 + 9 + 592 + 0 + 3 + 8 + 40 = 666.

It is a super-3 number, since 3×77959203840³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115153582 + ... + 115154258.

Almost surely, 2^77959203840 is an apocalyptic number.

77959203840 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 77959203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170874061920).

77959203840 is an abundant number, since it is smaller than the sum of its proper divisors (263788920000).

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

77959203840 is a wasteful number, since it uses less digits than its factorization.

77959203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77959203840 in words is "seventy-seven billion, nine hundred fifty-nine million, two hundred three thousand, eight hundred forty".