77813177040 has 320 divisors, whose sum is σ = 274900262400. Its totient is φ = 20224512000.

The previous prime is 77813177021. The next prime is 77813177051. The reversal of 77813177040 is 4077131877.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13646190 + ... + 13651890.

It is an arithmetic number, because the mean of its divisors is an integer number (859063320).

Almost surely, 2^77813177040 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 77813177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137450131200).

77813177040 is an abundant number, since it is smaller than the sum of its proper divisors (197087085360).

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

77813177040 is a wasteful number, since it uses less digits than its factorization.

77813177040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 77813177040 in words is "seventy-seven billion, eight hundred thirteen million, one hundred seventy-seven thousand, forty".