77747040 has 240 divisors, whose sum is σ = 313945632. Its totient is φ = 17750016.

The previous prime is 77747023. The next prime is 77747063. The reversal of 77747040 is 4074777.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 77746986 and 77747004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90292 + ... + 91148.

Almost surely, 2^77747040 is an apocalyptic number.

77747040 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 77747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156972816).

77747040 is an abundant number, since it is smaller than the sum of its proper divisors (236198592).

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

77747040 is a wasteful number, since it uses less digits than its factorization.

77747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77747040 is about 8817.4281964754. The cubic root of 77747040 is about 426.8034825993.

The spelling of 77747040 in words is "seventy-seven million, seven hundred forty-seven thousand, forty".