87737738880 has 768 divisors, whose sum is σ = 322914211200. Its totient is φ = 20226539520.

The previous prime is 87737738867. The next prime is 87737738903. The reversal of 87737738880 is 8883773778.

It is a super-3 number, since 3×87737738880³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507154474 + ... + 507154646.

Almost surely, 2^87737738880 is an apocalyptic number.

87737738880 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 87737738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161457105600).

87737738880 is an abundant number, since it is smaller than the sum of its proper divisors (235176472320).

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

87737738880 is a wasteful number, since it uses less digits than its factorization.

87737738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 66.

The spelling of 87737738880 in words is "eighty-seven billion, seven hundred thirty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".