77894880 has 192 divisors, whose sum is σ = 284497920. Its totient is φ = 17547264.

The previous prime is 77894863. The next prime is 77894897. The reversal of 77894880 is 8849877.

It is an interprime number because it is at equal distance from previous prime (77894863) and next prime (77894897).

It is a super-2 number, since 2×77894880² = 12135224660428800, which contains 22 as substring.

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, 325801 + ... + 326039.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^77894880 is an apocalyptic number.

77894880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

77894880 is an abundant number, since it is smaller than the sum of its proper divisors (206603040).

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

77894880 is a wasteful number, since it uses less digits than its factorization.

77894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 77894880 is about 8825.8076117713. The cubic root of 77894880 is about 427.0738409048.

The spelling of 77894880 in words is "seventy-seven million, eight hundred ninety-four thousand, eight hundred eighty".