77442672 has 40 divisors (see below), whose sum is σ = 203347600. Its totient is φ = 25390080.

The previous prime is 77442661. The next prime is 77442683. The reversal of 77442672 is 27624477.

It is an interprime number because it is at equal distance from previous prime (77442661) and next prime (77442683).

It is a self number, because there is not a number n which added to its sum of digits gives 77442672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10297 + ... + 16152.

It is an arithmetic number, because the mean of its divisors is an integer number (5083690).

Almost surely, 2^77442672 is an apocalyptic number.

It is an amenable number.

77442672 is an abundant number, since it is smaller than the sum of its proper divisors (125904928).

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

77442672 is a wasteful number, since it uses less digits than its factorization.

77442672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26521 (or 26515 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 77442672 is about 8800.1518168723. The cubic root of 77442672 is about 426.2457970077.

It can be divided in two parts, 774 and 42672, that multiplied together give a triangular number (33028128 = T₈₁₂₇).

The spelling of 77442672 in words is "seventy-seven million, four hundred forty-two thousand, six hundred seventy-two".