77953104 has 50 divisors (see below), whose sum is σ = 225622650. Its totient is φ = 25983936.

The previous prime is 77953103. The next prime is 77953121. The reversal of 77953104 is 40135977.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 18045504 = 7740^2 + 4248^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77953103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28779 + ... + 31370.

It is an arithmetic number, because the mean of its divisors is an integer number (4512453).

Almost surely, 2^77953104 is an apocalyptic number.

It is an amenable number.

77953104 is an abundant number, since it is smaller than the sum of its proper divisors (147669546).

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

77953104 is a wasteful number, since it uses less digits than its factorization.

77953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60169 (or 60154 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77953104 is about 8829.1055039568. The cubic root of 77953104 is about 427.1802225410.

The spelling of 77953104 in words is "seventy-seven million, nine hundred fifty-three thousand, one hundred four".