77293080 has 96 divisors (see below), whose sum is σ = 256005360. Its totient is φ = 20217600.

The previous prime is 77293063. The next prime is 77293081. The reversal of 77293080 is 8039277.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77293081) 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, 17055 + ... + 21105.

Almost surely, 2^77293080 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 77293080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128002680).

77293080 is an abundant number, since it is smaller than the sum of its proper divisors (178712280).

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

77293080 is a wasteful number, since it uses less digits than its factorization.

77293080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4114 counting only the distinct ones).

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

The square root of 77293080 is about 8791.6483096175. The cubic root of 77293080 is about 425.9711677901.

The spelling of 77293080 in words is "seventy-seven million, two hundred ninety-three thousand, eighty".