77854583040 has 576 divisors, whose sum is σ = 279924916992. Its totient is φ = 18314035200.

The previous prime is 77854583021. The next prime is 77854583047. The reversal of 77854583040 is 4038545877.

It is a super-2 number, since 2×77854583040² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77854583047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112669095 + ... + 112669785.

Almost surely, 2^77854583040 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 77854583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962458496).

77854583040 is an abundant number, since it is smaller than the sum of its proper divisors (202070333952).

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

77854583040 is a wasteful number, since it uses less digits than its factorization.

77854583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 77854583040 in words is "seventy-seven billion, eight hundred fifty-four million, five hundred eighty-three thousand, forty".