87773040 has 240 divisors, whose sum is σ = 319640256. Its totient is φ = 21504000.

The previous prime is 87773033. The next prime is 87773041. The reversal of 87773040 is 4037778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 87772986 and 87773004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87773041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868990 + ... + 869090.

Almost surely, 2^87773040 is an apocalyptic number.

87773040 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 87773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159820128).

87773040 is an abundant number, since it is smaller than the sum of its proper divisors (231867216).

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

87773040 is a wasteful number, since it uses less digits than its factorization.

87773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 87773040 is about 9368.7267011051. The cubic root of 87773040 is about 444.4132991138.

The spelling of 87773040 in words is "eighty-seven million, seven hundred seventy-three thousand, forty".