77672518560 has 1296 divisors, whose sum is σ = 353935193976. Its totient is φ = 15371403264.

The previous prime is 77672518541. The next prime is 77672518571. The reversal of 77672518560 is 6581527677.

It is a happy number.

77672518560 is a `hidden beast` number, since 7 + 7 + 6 + 72 + 5 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 32042432016 + 45630086544 = 179004^2 + 213612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77672518497 and 77672518506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 265093774 + ... + 265094066.

Almost surely, 2^77672518560 is an apocalyptic number.

77672518560 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 77672518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176967596988).

77672518560 is an abundant number, since it is smaller than the sum of its proper divisors (276262675416).

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

77672518560 is a wasteful number, since it uses less digits than its factorization.

77672518560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 77672518560 in words is "seventy-seven billion, six hundred seventy-two million, five hundred eighteen thousand, five hundred sixty".