77542133760 has 1664 divisors, whose sum is σ = 359324098560. Its totient is φ = 15415640064.

The previous prime is 77542133723. The next prime is 77542133789. The reversal of 77542133760 is 6733124577.

77542133760 is a `hidden beast` number, since 7 + 7 + 542 + 1 + 33 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157345247 + ... + 1157345313.

Almost surely, 2^77542133760 is an apocalyptic number.

77542133760 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 77542133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179662049280).

77542133760 is an abundant number, since it is smaller than the sum of its proper divisors (281781964800).

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

77542133760 is a wasteful number, since it uses less digits than its factorization.

77542133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 77542133760 in words is "seventy-seven billion, five hundred forty-two million, one hundred thirty-three thousand, seven hundred sixty".