77701680 has 240 divisors, whose sum is σ = 309813504. Its totient is φ = 17729280.

The previous prime is 77701667. The next prime is 77701691. The reversal of 77701680 is 8610777.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 135795 + ... + 136365.

Almost surely, 2^77701680 is an apocalyptic number.

77701680 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 77701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154906752).

77701680 is an abundant number, since it is smaller than the sum of its proper divisors (232111824).

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

77701680 is a wasteful number, since it uses less digits than its factorization.

77701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 77701680 is about 8814.8556426070. The cubic root of 77701680 is about 426.7204630519.

The spelling of 77701680 in words is "seventy-seven million, seven hundred one thousand, six hundred eighty".