77890032 has 160 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 22913280.

The previous prime is 77889997. The next prime is 77890061. The reversal of 77890032 is 23009877.

It is a super-2 number, since 2×77890032² = 12133714169922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175603 + ... + 176045.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 2^77890032 is an apocalyptic number.

77890032 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 77890032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

77890032 is an abundant number, since it is smaller than the sum of its proper divisors (173165328).

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

77890032 is a wasteful number, since it uses less digits than its factorization.

77890032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77890032 is about 8825.5329584111. The cubic root of 77890032 is about 427.0649806864.

77890032 divided by its sum of digits (36) gives a palindrome (2163612).

The spelling of 77890032 in words is "seventy-seven million, eight hundred ninety thousand, thirty-two".