87077477760 has 512 divisors, whose sum is σ = 342698065920. Its totient is φ = 18314035200.

The previous prime is 87077477743. The next prime is 87077477777. The reversal of 87077477760 is 6777477078.

It is an interprime number because it is at equal distance from previous prime (87077477743) and next prime (87077477777).

It is a super-4 number, since 4×87077477760⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 87077477694 and 87077477703.

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, 75653185 + ... + 75654335.

It is an arithmetic number, because the mean of its divisors is an integer number (669332160).

Almost surely, 2^87077477760 is an apocalyptic number.

87077477760 is a gapful number since it is divisible by the number (80) 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 87077477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171349032960).

87077477760 is an abundant number, since it is smaller than the sum of its proper divisors (255620588160).

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

87077477760 is a wasteful number, since it uses less digits than its factorization.

87077477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 22588608, while the sum is 60.

The spelling of 87077477760 in words is "eighty-seven billion, seventy-seven million, four hundred seventy-seven thousand, seven hundred sixty".