77801152 has 56 divisors (see below), whose sum is σ = 181398672. Its totient is φ = 32640000.

The previous prime is 77801107. The next prime is 77801179. The reversal of 77801152 is 25110877.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4902 + ... + 13402.

It is an arithmetic number, because the mean of its divisors is an integer number (3239262).

Almost surely, 2^77801152 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 77801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90699336).

77801152 is an abundant number, since it is smaller than the sum of its proper divisors (103597520).

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

77801152 is a wasteful number, since it uses less digits than its factorization.

77801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 77801152 is about 8820.4961311709. The cubic root of 77801152 is about 426.9024781539.

The spelling of 77801152 in words is "seventy-seven million, eight hundred one thousand, one hundred fifty-two".