87773400 has 432 divisors, whose sum is σ = 360185280. Its totient is φ = 19008000.

The previous prime is 87773351. The next prime is 87773419. The reversal of 87773400 is 437778.

It is a happy number.

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

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 2831385 + ... + 2831415.

Almost surely, 2^87773400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87773400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

87773400 is an abundant number, since it is smaller than the sum of its proper divisors (272411880).

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

87773400 is a wasteful number, since it uses less digits than its factorization.

87773400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

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

The square root of 87773400 is about 9368.7459139417. The cubic root of 87773400 is about 444.4139066981.

It can be divided in two parts, 87 and 773400, that multiplied together give a triangular number (67285800 = T₁₁₆₀₀).

The spelling of 87773400 in words is "eighty-seven million, seven hundred seventy-three thousand, four hundred".