77954080 has 24 divisors (see below), whose sum is σ = 184166892. Its totient is φ = 31181568.

The previous prime is 77954077. The next prime is 77954081. The reversal of 77954080 is 8045977.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 7595536 = 8388^2 + 2756^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (77954081) 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 3 ways as a sum of consecutive naturals, for example, 243447 + ... + 243766.

Almost surely, 2^77954080 is an apocalyptic number.

It is an amenable number.

77954080 is an abundant number, since it is smaller than the sum of its proper divisors (106212812).

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

77954080 is a wasteful number, since it uses less digits than its factorization.

77954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487228 (or 487220 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 77954080 is about 8829.1607755211. The cubic root of 77954080 is about 427.1820053486.

The spelling of 77954080 in words is "seventy-seven million, nine hundred fifty-four thousand, eighty".