77263872 has 88 divisors (see below), whose sum is σ = 235421376. Its totient is φ = 22069248.

The previous prime is 77263867. The next prime is 77263891. The reversal of 77263872 is 27836277.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 19708 + ... + 23300.

Almost surely, 2^77263872 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 77263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117710688).

77263872 is an abundant number, since it is smaller than the sum of its proper divisors (158157504).

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

77263872 is a wasteful number, since it uses less digits than its factorization.

77263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3605 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 77263872 is about 8789.9870307072. The cubic root of 77263872 is about 425.9175047999.

The spelling of 77263872 in words is "seventy-seven million, two hundred sixty-three thousand, eight hundred seventy-two".