77286720 has 336 divisors, whose sum is σ = 300215808. Its totient is φ = 16773120.

The previous prime is 77286691. The next prime is 77286731. The reversal of 77286720 is 2768277.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1458214 + ... + 1458266.

Almost surely, 2^77286720 is an apocalyptic number.

77286720 is a gapful number since it is divisible by the number (70) 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 77286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904).

77286720 is an abundant number, since it is smaller than the sum of its proper divisors (222929088).

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

77286720 is a wasteful number, since it uses less digits than its factorization.

77286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 77286720 is about 8791.2865952601. The cubic root of 77286720 is about 425.9594839027.

The spelling of 77286720 in words is "seventy-seven million, two hundred eighty-six thousand, seven hundred twenty".