77134848 has 176 divisors, whose sum is σ = 249963264. Its totient is φ = 20643840.

The previous prime is 77134823. The next prime is 77134873. The reversal of 77134848 is 84843177.

It is an interprime number because it is at equal distance from previous prime (77134823) and next prime (77134873).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365463 + ... + 365673.

Almost surely, 2^77134848 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 77134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124981632).

77134848 is an abundant number, since it is smaller than the sum of its proper divisors (172828416).

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

77134848 is a wasteful number, since it uses less digits than its factorization.

77134848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 77134848 is about 8782.6447041879. The cubic root of 77134848 is about 425.6802908801.

It can be divided in two parts, 7713 and 4848, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 77134848 in words is "seventy-seven million, one hundred thirty-four thousand, eight hundred forty-eight".