77634972 has 36 divisors (see below), whose sum is σ = 203013720. Its totient is φ = 24985632.

The previous prime is 77634941. The next prime is 77634979. The reversal of 77634972 is 27943677.

It is a happy number.

77634972 is a `hidden beast` number, since 7 + 7 + 634 + 9 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77634979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36138 + ... + 38225.

It is an arithmetic number, because the mean of its divisors is an integer number (5639270).

Almost surely, 2^77634972 is an apocalyptic number.

It is an amenable number.

77634972 is an abundant number, since it is smaller than the sum of its proper divisors (125378748).

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

77634972 is a wasteful number, since it uses less digits than its factorization.

77634972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74402 (or 74397 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 77634972 is about 8811.0709905210. The cubic root of 77634972 is about 426.5983128890.

It can be divided in two parts, 77634 and 972, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 77634972 in words is "seventy-seven million, six hundred thirty-four thousand, nine hundred seventy-two".