77293440 has 384 divisors, whose sum is σ = 320785920. Its totient is φ = 17418240.

The previous prime is 77293429. The next prime is 77293471. The reversal of 77293440 is 4439277.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 77293395 and 77293404.

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, 1088605 + ... + 1088675.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^77293440 is an apocalyptic number.

77293440 is a gapful number since it is divisible by the number (70) 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 77293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

77293440 is an abundant number, since it is smaller than the sum of its proper divisors (243492480).

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

77293440 is an equidigital number, since it uses as much as digits as its factorization.

77293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

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

The square root of 77293440 is about 8791.6687835700. The cubic root of 77293440 is about 425.9718291230.

The spelling of 77293440 in words is "seventy-seven million, two hundred ninety-three thousand, four hundred forty".