77993280 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 19243008.

The previous prime is 77993261. The next prime is 77993291. The reversal of 77993280 is 8239977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321891 + ... + 1321949.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^77993280 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 77993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

77993280 is an abundant number, since it is smaller than the sum of its proper divisors (221564160).

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

77993280 is a wasteful number, since it uses less digits than its factorization.

77993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 77993280 is about 8831.3804130498. The cubic root of 77993280 is about 427.2535976181.

The spelling of 77993280 in words is "seventy-seven million, nine hundred ninety-three thousand, two hundred eighty".