77213376 has 84 divisors (see below), whose sum is σ = 227362512. Its totient is φ = 25035264.

The previous prime is 77213347. The next prime is 77213407. The reversal of 77213376 is 67331277.

77213376 is a `hidden beast` number, since 77 + 213 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77213376.

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 11 ways as a sum of consecutive naturals, for example, 19501 + ... + 23123.

Almost surely, 2^77213376 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 77213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113681256).

77213376 is an abundant number, since it is smaller than the sum of its proper divisors (150149136).

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

77213376 is a wasteful number, since it uses less digits than its factorization.

77213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3665 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 77213376 is about 8787.1142020575. The cubic root of 77213376 is about 425.8246980895.

The spelling of 77213376 in words is "seventy-seven million, two hundred thirteen thousand, three hundred seventy-six".