77412672 has 140 divisors (see below), whose sum is σ = 233271060. Its totient is φ = 25380864.

The previous prime is 77412617. The next prime is 77412677. The reversal of 77412672 is 27621477.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 27625536 = 7056^2 + 5256^2 .

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 (77412677) 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 19 ways as a sum of consecutive naturals, for example, 564988 + ... + 565124.

Almost surely, 2^77412672 is an apocalyptic number.

77412672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635530).

77412672 is an abundant number, since it is smaller than the sum of its proper divisors (155858388).

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

77412672 is a wasteful number, since it uses less digits than its factorization.

77412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 77412672 is about 8798.4471357166. The cubic root of 77412672 is about 426.1907497271.

The spelling of 77412672 in words is "seventy-seven million, four hundred twelve thousand, six hundred seventy-two".