76770504 has 192 divisors, whose sum is σ = 240589440. Its totient is φ = 22809600.

The previous prime is 76770479. The next prime is 76770509. The reversal of 76770504 is 40507767.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76770509) 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, 760054 + ... + 760154.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^76770504 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 76770504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

76770504 is an abundant number, since it is smaller than the sum of its proper divisors (163818936).

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

76770504 is a wasteful number, since it uses less digits than its factorization.

76770504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76770504 is about 8761.8778809111. The cubic root of 76770504 is about 425.0090037308.

The spelling of 76770504 in words is "seventy-six million, seven hundred seventy thousand, five hundred four".