77671776 has 192 divisors, whose sum is σ = 266208768. Its totient is φ = 19243008.

The previous prime is 77671757. The next prime is 77671801. The reversal of 77671776 is 67717677.

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

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 31 ways as a sum of consecutive naturals, for example, 148251 + ... + 148773.

It is an arithmetic number, because the mean of its divisors is an integer number (1386504).

Almost surely, 2^77671776 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 77671776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133104384).

77671776 is an abundant number, since it is smaller than the sum of its proper divisors (188536992).

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

77671776 is a wasteful number, since it uses less digits than its factorization.

77671776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 605052, while the sum is 48.

The square root of 77671776 is about 8813.1592519368. The cubic root of 77671776 is about 426.6657139736.

The spelling of 77671776 in words is "seventy-seven million, six hundred seventy-one thousand, seven hundred seventy-six".