77983152 has 80 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 23475456.

The previous prime is 77983127. The next prime is 77983153. The reversal of 77983152 is 25138977.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77983153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27999 + ... + 30657.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^77983152 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 77983152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

77983152 is an abundant number, since it is smaller than the sum of its proper divisors (143669328).

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

77983152 is a wasteful number, since it uses less digits than its factorization.

77983152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2724 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 77983152 is about 8830.8069846419. The cubic root of 77983152 is about 427.2351028121.

The spelling of 77983152 in words is "seventy-seven million, nine hundred eighty-three thousand, one hundred fifty-two".