877738464 has 96 divisors (see below), whose sum is σ = 2642734080. Its totient is φ = 283132800.

The previous prime is 877738453. The next prime is 877738469. The reversal of 877738464 is 464837778.

877738464 is a `hidden beast` number, since 87 + 77 + 38 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×877738464² = 1540849622370158592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 877738464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877738469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10399 + ... + 43169.

It is an arithmetic number, because the mean of its divisors is an integer number (27528480).

Almost surely, 2^877738464 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 877738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321367040).

877738464 is an abundant number, since it is smaller than the sum of its proper divisors (1764995616).

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

877738464 is a wasteful number, since it uses less digits than its factorization.

877738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821 (or 32807 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 877738464 is about 29626.6512451205. The cubic root of 877738464 is about 957.4623604789.

The spelling of 877738464 in words is "eight hundred seventy-seven million, seven hundred thirty-eight thousand, four hundred sixty-four".