77370048 has 168 divisors, whose sum is σ = 262046720. Its totient is φ = 21358080.

The previous prime is 77370047. The next prime is 77370061. The reversal of 77370048 is 84007377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×77370048² = 11972248655044608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 77369994 and 77370021.

It is not an unprimeable number, because it can be changed into a prime (77370047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124683 + ... + 125301.

Almost surely, 2^77370048 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 77370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131023360).

77370048 is an abundant number, since it is smaller than the sum of its proper divisors (184676672).

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

77370048 is a wasteful number, since it uses less digits than its factorization.

77370048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77370048 is about 8796.0245565824. The cubic root of 77370048 is about 426.1125140879.

The spelling of 77370048 in words is "seventy-seven million, three hundred seventy thousand, forty-eight".