77294880 has 144 divisors (see below), whose sum is σ = 284127480. Its totient is φ = 19021824.

The previous prime is 77294879. The next prime is 77294909. The reversal of 77294880 is 8849277.

It can be written as a sum of positive squares in 4 ways, for example, as 50296464 + 26998416 = 7092^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 16656 + ... + 20784.

Almost surely, 2^77294880 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 77294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142063740).

77294880 is an abundant number, since it is smaller than the sum of its proper divisors (206832600).

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

77294880 is a wasteful number, since it uses less digits than its factorization.

77294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4152 counting only the distinct ones).

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

The square root of 77294880 is about 8791.7506789035. The cubic root of 77294880 is about 425.9744744343.

The spelling of 77294880 in words is "seventy-seven million, two hundred ninety-four thousand, eight hundred eighty".