76504677404157 has 48 divisors (see below), whose sum is σ = 119132506321920. Its totient is φ = 47136788960256.

The previous prime is 76504677404101. The next prime is 76504677404201. The reversal of 76504677404157 is 75140477640567.

It is a happy number.

76504677404157 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 4 + 6 + 77 + 404 + 157 = 666.

It is not a de Polignac number, because 76504677404157 - 2²⁴ = 76504660626941 is a prime.

It is a super-3 number, since 3×76504677404157³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76504677404094 and 76504677404103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76504677404257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12552157 + ... + 17622882.

It is an arithmetic number, because the mean of its divisors is an integer number (2481927215040).

Almost surely, 2^{76504677404157} is an apocalyptic number.

It is an amenable number.

76504677404157 is a deficient number, since it is larger than the sum of its proper divisors (42627828917763).

76504677404157 is a wasteful number, since it uses less digits than its factorization.

76504677404157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175362 (or 30175359 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 76504677404157 in words is "seventy-six trillion, five hundred four billion, six hundred seventy-seven million, four hundred four thousand, one hundred fifty-seven".