87792078528 has 1344 divisors, whose sum is σ = 356089305600. Its totient is φ = 21076070400.

The previous prime is 87792078527. The next prime is 87792078533. The reversal of 87792078528 is 82587029778.

87792078528 is a `hidden beast` number, since 87 + 7 + 9 + 20 + 7 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87792078527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2141270188 + ... + 2141270228.

It is an arithmetic number, because the mean of its divisors is an integer number (264947400).

Almost surely, 2^87792078528 is an apocalyptic number.

87792078528 is a gapful number since it is divisible by the number (88) 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 87792078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178044652800).

87792078528 is an abundant number, since it is smaller than the sum of its proper divisors (268297227072).

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

87792078528 is a wasteful number, since it uses less digits than its factorization.

87792078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 87792078528 in words is "eighty-seven billion, seven hundred ninety-two million, seventy-eight thousand, five hundred twenty-eight".