77153020560 has 640 divisors, whose sum is σ = 338121216000. Its totient is φ = 16030103040.

The previous prime is 77153020559. The next prime is 77153020597. The reversal of 77153020560 is 6502035177.

77153020560 is a `hidden beast` number, since 7 + 71 + 5 + 3 + 0 + 20 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8144947 + ... + 8154413.

It is an arithmetic number, because the mean of its divisors is an integer number (528314400).

Almost surely, 2^77153020560 is an apocalyptic number.

77153020560 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 77153020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169060608000).

77153020560 is an abundant number, since it is smaller than the sum of its proper divisors (260968195440).

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

77153020560 is a wasteful number, since it uses less digits than its factorization.

77153020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 77153020560 in words is "seventy-seven billion, one hundred fifty-three million, twenty thousand, five hundred sixty".