77451672 has 64 divisors (see below), whose sum is σ = 203374080. Its totient is φ = 24532992.

The previous prime is 77451667. The next prime is 77451697. The reversal of 77451672 is 27615477.

It is a super-2 number, since 2×77451672² = 11997522991191168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77451672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106173 + ... + 106899.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2^77451672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77451672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101687040).

77451672 is an abundant number, since it is smaller than the sum of its proper divisors (125922408).

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

77451672 is a wasteful number, since it uses less digits than its factorization.

77451672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 77451672 is about 8800.6631568309. The cubic root of 77451672 is about 426.2623084196.

The spelling of 77451672 in words is "seventy-seven million, four hundred fifty-one thousand, six hundred seventy-two".