77378364 has 72 divisors (see below), whose sum is σ = 224806400. Its totient is φ = 21982752.

The previous prime is 77378347. The next prime is 77378369. The reversal of 77378364 is 46387377.

It is a super-2 number, since 2×77378364² = 11974822430632992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77378369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49377 + ... + 50919.

Almost surely, 2^77378364 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 77378364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112403200).

77378364 is an abundant number, since it is smaller than the sum of its proper divisors (147428036).

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

77378364 is a wasteful number, since it uses less digits than its factorization.

77378364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1754 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 77378364 is about 8796.4972574315. The cubic root of 77378364 is about 426.1277802226.

The spelling of 77378364 in words is "seventy-seven million, three hundred seventy-eight thousand, three hundred sixty-four".