77047740 has 384 divisors, whose sum is σ = 319334400. Its totient is φ = 14929920.

The previous prime is 77047703. The next prime is 77047771. The reversal of 77047740 is 4774077.

77047740 = T₃₅₈ + T₃₅₉ + ... + T₇₉₇.

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 = 77047695 and 77047704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706806 + ... + 706914.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^77047740 is an apocalyptic number.

77047740 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 77047740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

77047740 is an abundant number, since it is smaller than the sum of its proper divisors (242286660).

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

77047740 is a wasteful number, since it uses less digits than its factorization.

77047740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

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

The square root of 77047740 is about 8777.6842048458. The cubic root of 77047740 is about 425.5199909783.

The spelling of 77047740 in words is "seventy-seven million, forty-seven thousand, seven hundred forty".