77379456 has 128 divisors (see below), whose sum is σ = 256354560. Its totient is φ = 20090880.

The previous prime is 77379451. The next prime is 77379479. The reversal of 77379456 is 65497377.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77379451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28260 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (2002770).

Almost surely, 2^77379456 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 77379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128177280).

77379456 is an abundant number, since it is smaller than the sum of its proper divisors (178975104).

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

77379456 is a wasteful number, since it uses less digits than its factorization.

77379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2640 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 48.

The square root of 77379456 is about 8796.5593273734. The cubic root of 77379456 is about 426.1297847853.

It can be divided in two parts, 77 and 379456, that multiplied together give a cube (29218112 = 308³).

The spelling of 77379456 in words is "seventy-seven million, three hundred seventy-nine thousand, four hundred fifty-six".