77985000 has 120 divisors (see below), whose sum is σ = 264079530. Its totient is φ = 20784000.

The previous prime is 77984999. The next prime is 77985041. The reversal of 77985000 is 58977.

It can be written as a sum of positive squares in 5 ways, for example, as 509796 + 77475204 = 714^2 + 8802^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44134 + ... + 45866.

Almost surely, 2^77985000 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 77985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039765).

77985000 is an abundant number, since it is smaller than the sum of its proper divisors (186094530).

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

77985000 is a wasteful number, since it uses less digits than its factorization.

77985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 77985000 is about 8830.9116177210. The cubic root of 77985000 is about 427.2384775762.

The spelling of 77985000 in words is "seventy-seven million, nine hundred eighty-five thousand".