77493240 has 192 divisors, whose sum is σ = 284407200. Its totient is φ = 18754560.

The previous prime is 77493197. The next prime is 77493257. The reversal of 77493240 is 4239477.

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 = 77493195 and 77493204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130384 + ... + 130976.

Almost surely, 2^77493240 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 77493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).

77493240 is an abundant number, since it is smaller than the sum of its proper divisors (206913960).

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

77493240 is a wasteful number, since it uses less digits than its factorization.

77493240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77493240 is about 8803.0244802568. The cubic root of 77493240 is about 426.3385525352.

The spelling of 77493240 in words is "seventy-seven million, four hundred ninety-three thousand, two hundred forty".