77337283032 has 224 divisors, whose sum is σ = 222611310000. Its totient is φ = 25169045760.

The previous prime is 77337282991. The next prime is 77337283033. The reversal of 77337283032 is 23038273377.

77337283032 is a `hidden beast` number, since 7 + 7 + 337 + 2 + 8 + 303 + 2 = 666.

It is a super-2 number, since 2×77337283032² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77337283033) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53006319 + ... + 53007777.

Almost surely, 2^77337283032 is an apocalyptic number.

77337283032 is a gapful number since it is divisible by the number (72) 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 77337283032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111305655000).

77337283032 is an abundant number, since it is smaller than the sum of its proper divisors (145274026968).

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

77337283032 is a wasteful number, since it uses less digits than its factorization.

77337283032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 77337283032 in words is "seventy-seven billion, three hundred thirty-seven million, two hundred eighty-three thousand, thirty-two".