77700484440 has 192 divisors, whose sum is σ = 270328181760. Its totient is φ = 20051660160.

The previous prime is 77700484423. The next prime is 77700484451. The reversal of 77700484440 is 4448400777.

It is a super-2 number, since 2×77700484440² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 172387 + ... + 430253.

It is an arithmetic number, because the mean of its divisors is an integer number (1407959280).

Almost surely, 2^77700484440 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 77700484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135164090880).

77700484440 is an abundant number, since it is smaller than the sum of its proper divisors (192627697320).

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

77700484440 is a wasteful number, since it uses less digits than its factorization.

77700484440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257924 (or 257908 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 77700484440 in words is "seventy-seven billion, seven hundred million, four hundred eighty-four thousand, four hundred forty".