878463264 has 192 divisors, whose sum is σ = 2714342400. Its totient is φ = 243606528.

The previous prime is 878463247. The next prime is 878463281. The reversal of 878463264 is 462364878.

It is an interprime number because it is at equal distance from previous prime (878463247) and next prime (878463281).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907527 + ... + 4907705.

It is an arithmetic number, because the mean of its divisors is an integer number (14137200).

Almost surely, 2^878463264 is an apocalyptic number.

878463264 is a gapful number since it is divisible by the number (84) 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 878463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

878463264 is an abundant number, since it is smaller than the sum of its proper divisors (1835879136).

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

878463264 is a wasteful number, since it uses less digits than its factorization.

878463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 878463264 is about 29638.8809505352. The cubic root of 878463264 is about 957.7258321994.

The spelling of 878463264 in words is "eight hundred seventy-eight million, four hundred sixty-three thousand, two hundred sixty-four".