77900064 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 23251200.

The previous prime is 77900051. The next prime is 77900077. The reversal of 77900064 is 46000977.

It is an interprime number because it is at equal distance from previous prime (77900051) and next prime (77900077).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 77899998 and 77900034.

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, 74457 + ... + 75495.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^77900064 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 77900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

77900064 is an abundant number, since it is smaller than the sum of its proper divisors (148537056).

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

77900064 is a wasteful number, since it uses less digits than its factorization.

77900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 77900064 is about 8826.1012910571. The cubic root of 77900064 is about 427.0833147909.

The spelling of 77900064 in words is "seventy-seven million, nine hundred thousand, sixty-four".