77721593040 has 1200 divisors, whose sum is σ = 356322193920. Its totient is φ = 15519651840.

The previous prime is 77721592981. The next prime is 77721593119. The reversal of 77721593040 is 4039512777.

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78426945 + ... + 78427935.

Almost surely, 2^77721593040 is an apocalyptic number.

77721593040 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 77721593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178161096960).

77721593040 is an abundant number, since it is smaller than the sum of its proper divisors (278600600880).

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

77721593040 is a wasteful number, since it uses less digits than its factorization.

77721593040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1040 counting only the distinct ones).

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

It can be divided in two parts, 77721 and 593040, that added together give a square (670761 = 819²).

The spelling of 77721593040 in words is "seventy-seven billion, seven hundred twenty-one million, five hundred ninety-three thousand, forty".