77457429296379 has 24 divisors (see below), whose sum is σ = 122267886147264. Its totient is φ = 46861683030000.

The previous prime is 77457429296371. The next prime is 77457429296393. The reversal of 77457429296379 is 97369292475477.

77457429296379 is a `hidden beast` number, since 7 + 7 + 4 + 5 + 74 + 2 + 92 + 96 + 379 = 666.

It is not a de Polignac number, because 77457429296379 - 2³ = 77457429296371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77457429296298 and 77457429296307.

It is not an unprimeable number, because it can be changed into a prime (77457429296371) 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, 685055797 + ... + 685168854.

It is an arithmetic number, because the mean of its divisors is an integer number (5094495256136).

Almost surely, 2^{77457429296379} is an apocalyptic number.

77457429296379 is a deficient number, since it is larger than the sum of its proper divisors (44810456850885).

77457429296379 is a wasteful number, since it uses less digits than its factorization.

77457429296379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370225239 (or 1370225236 counting only the distinct ones).

The product of its digits is 10081895040, while the sum is 81.

The spelling of 77457429296379 in words is "seventy-seven trillion, four hundred fifty-seven billion, four hundred twenty-nine million, two hundred ninety-six thousand, three hundred seventy-nine".