77376432 has 80 divisors (see below), whose sum is σ = 229405952. Its totient is φ = 22014720.

The previous prime is 77376427. The next prime is 77376433. The reversal of 77376432 is 23467377.

It is a super-2 number, since 2×77376432² = 11974224458101248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77376433) 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, 141183 + ... + 141729.

Almost surely, 2^77376432 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 77376432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702976).

77376432 is an abundant number, since it is smaller than the sum of its proper divisors (152029520).

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

77376432 is a wasteful number, since it uses less digits than its factorization.

77376432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 77376432 is about 8796.3874403075. The cubic root of 77376432 is about 426.1242336423.

The spelling of 77376432 in words is "seventy-seven million, three hundred seventy-six thousand, four hundred thirty-two".