77770404 has 72 divisors (see below), whose sum is σ = 201939192. Its totient is φ = 25228800.

The previous prime is 77770387. The next prime is 77770409. The reversal of 77770404 is 40407777.

It can be written as a sum of positive squares in 4 ways, for example, as 54730404 + 23040000 = 7398^2 + 4800^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77770409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265282 + ... + 265574.

It is an arithmetic number, because the mean of its divisors is an integer number (2804711).

Almost surely, 2^77770404 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 77770404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100969596).

77770404 is an abundant number, since it is smaller than the sum of its proper divisors (124168788).

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

77770404 is a wasteful number, since it uses less digits than its factorization.

77770404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77770404 is about 8818.7529730682. The cubic root of 77770404 is about 426.8462316559.

The spelling of 77770404 in words is "seventy-seven million, seven hundred seventy thousand, four hundred four".