77434357 has 48 divisors (see below), whose sum is σ = 108706752. Its totient is φ = 54190080.

The previous prime is 77434351. The next prime is 77434369. The reversal of 77434357 is 75343477.

It is not a de Polignac number, because 77434357 - 2¹⁵ = 77401589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77434351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301173 + ... + 301429.

It is an arithmetic number, because the mean of its divisors is an integer number (2264724).

Almost surely, 2^77434357 is an apocalyptic number.

77434357 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77434357 is a deficient number, since it is larger than the sum of its proper divisors (31272395).

77434357 is a wasteful number, since it uses less digits than its factorization.

77434357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its digits is 246960, while the sum is 40.

The square root of 77434357 is about 8799.6793691589. The cubic root of 77434357 is about 426.2305411607.

It can be divided in two parts, 774343 and 57, that added together give a square (774400 = 880²).

The spelling of 77434357 in words is "seventy-seven million, four hundred thirty-four thousand, three hundred fifty-seven".