77421264 has 80 divisors (see below), whose sum is σ = 214629120. Its totient is φ = 23961600.

The previous prime is 77421233. The next prime is 77421269. The reversal of 77421264 is 46212477.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77421269) by changing a digit.

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, 63864 + ... + 65064.

It is an arithmetic number, because the mean of its divisors is an integer number (2682864).

Almost surely, 2^77421264 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 77421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107314560).

77421264 is an abundant number, since it is smaller than the sum of its proper divisors (137207856).

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

77421264 is a wasteful number, since it uses less digits than its factorization.

77421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 77421264 is about 8798.9353901481. The cubic root of 77421264 is about 426.2065167213.

The spelling of 77421264 in words is "seventy-seven million, four hundred twenty-one thousand, two hundred sixty-four".