87761270076480 has 2240 divisors, whose sum is σ = 420439491343872. Its totient is φ = 16781707837440.

The previous prime is 87761270076451. The next prime is 87761270076499. The reversal of 87761270076480 is 8467007216778.

87761270076480 is a `hidden beast` number, since 8 + 7 + 7 + 6 + 12 + 70 + 0 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8743770022 + ... + 8743780058.

Almost surely, 2^{87761270076480} is an apocalyptic number.

87761270076480 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 87761270076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210219745671936).

87761270076480 is an abundant number, since it is smaller than the sum of its proper divisors (332678221267392).

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

87761270076480 is a wasteful number, since it uses less digits than its factorization.

87761270076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 87761270076480 in words is "eighty-seven trillion, seven hundred sixty-one billion, two hundred seventy million, seventy-six thousand, four hundred eighty".