807428880 has 120 divisors (see below), whose sum is σ = 2723818968. Its totient is φ = 214345728.

The previous prime is 807428857. The next prime is 807428891. The reversal of 807428880 is 88824708.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 740057616 = 8208^2 + 27204^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165354 + ... + 170166.

Almost surely, 2^807428880 is an apocalyptic number.

807428880 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 807428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361909484).

807428880 is an abundant number, since it is smaller than the sum of its proper divisors (1916390088).

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

807428880 is a wasteful number, since it uses less digits than its factorization.

807428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 807428880 is about 28415.2930655308. The cubic root of 807428880 is about 931.1824017116.

The spelling of 807428880 in words is "eight hundred seven million, four hundred twenty-eight thousand, eight hundred eighty".