877294080 has 480 divisors, whose sum is σ = 3418374960. Its totient is φ = 206438400.

The previous prime is 877294073. The next prime is 877294091. The reversal of 877294080 is 80492778.

It can be written as a sum of positive squares in 8 ways, for example, as 472801536 + 404492544 = 21744^2 + 20112^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8686030 + ... + 8686130.

Almost surely, 2^877294080 is an apocalyptic number.

877294080 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 877294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709187480).

877294080 is an abundant number, since it is smaller than the sum of its proper divisors (2541080880).

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

877294080 is a wasteful number, since it uses less digits than its factorization.

877294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 877294080 is about 29619.1505617565. The cubic root of 877294080 is about 957.3007509199.

It can be divided in two parts, 87729 and 4080, that added together give a square (91809 = 303²).

The spelling of 877294080 in words is "eight hundred seventy-seven million, two hundred ninety-four thousand, eighty".